1023200640 has 512 divisors, whose sum is σ = 4523904000. Its totient is φ = 212336640.

The previous prime is 1023200639. The next prime is 1023200713. The reversal of 1023200640 is 460023201.

It is a happy number.

1023200640 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 20 + 0 + 640 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330176 + ... + 1330944.

It is an arithmetic number, because the mean of its divisors is an integer number (8835750).

Almost surely, 2^1023200640 is an apocalyptic number.

1023200640 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 1023200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261952000).

1023200640 is an abundant number, since it is smaller than the sum of its proper divisors (3500703360).

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

1023200640 is a wasteful number, since it uses less digits than its factorization.

1023200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1023200640 is about 31987.5075615466. The cubic root of 1023200640 is about 1007.6744980753.

Adding to 1023200640 its reverse (460023201), we get a palindrome (1483223841).

The spelling of 1023200640 in words is "one billion, twenty-three million, two hundred thousand, six hundred forty".