1027601640 has 320 divisors, whose sum is σ = 3844431360. Its totient is φ = 244477440.

The previous prime is 1027601633. The next prime is 1027601647. The reversal of 1027601640 is 461067201.

1027601640 is a `hidden beast` number, since 10 + 2 + 7 + 6 + 0 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1027601633) and next prime (1027601647).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1027601647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1305327 + ... + 1306113.

It is an arithmetic number, because the mean of its divisors is an integer number (12013848).

Almost surely, 2^1027601640 is an apocalyptic number.

1027601640 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 1027601640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922215680).

1027601640 is an abundant number, since it is smaller than the sum of its proper divisors (2816829720).

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

1027601640 is a wasteful number, since it uses less digits than its factorization.

1027601640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1027601640 is about 32056.2262283008. The cubic root of 1027601640 is about 1009.1171712403.

Adding to 1027601640 its reverse (461067201), we get a palindrome (1488668841).

The spelling of 1027601640 in words is "one billion, twenty-seven million, six hundred one thousand, six hundred forty".