1020050640 has 360 divisors, whose sum is σ = 4126510440. Its totient is φ = 224888832.

The previous prime is 1020050639. The next prime is 1020050641. The reversal of 1020050640 is 460500201.

It is a happy number.

1020050640 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 5 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1020050639) and next prime (1020050641).

It can be written as a sum of positive squares in 4 ways, for example, as 265559616 + 754491024 = 16296^2 + 27468^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020050641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1022622 + ... + 1023618.

It is an arithmetic number, because the mean of its divisors is an integer number (11462529).

Almost surely, 2^1020050640 is an apocalyptic number.

1020050640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063255220).

1020050640 is an abundant number, since it is smaller than the sum of its proper divisors (3106459800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020050640 is a wasteful number, since it uses less digits than its factorization.

1020050640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1020050640 is about 31938.2316354553. The cubic root of 1020050640 is about 1006.6393679034.

Adding to 1020050640 its reverse (460500201), we get a palindrome (1480550841).

The spelling of 1020050640 in words is "one billion, twenty million, fifty thousand, six hundred forty".