1005657120 has 480 divisors, whose sum is σ = 3934199808. Its totient is φ = 240371712.

The previous prime is 1005657113. The next prime is 1005657181. The reversal of 1005657120 is 217565001.

1005657120 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 657 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1005657120² = 2022692486013388800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7918497 + ... + 7918623.

Almost surely, 2^1005657120 is an apocalyptic number.

1005657120 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 1005657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967099904).

1005657120 is an abundant number, since it is smaller than the sum of its proper divisors (2928542688).

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

1005657120 is a wasteful number, since it uses less digits than its factorization.

1005657120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1005657120 is about 31712.0973762380. The cubic root of 1005657120 is about 1001.8821619107.

It can be divided in two parts, 10056 and 57120, that added together give a palindrome (67176).

The spelling of 1005657120 in words is "one billion, five million, six hundred fifty-seven thousand, one hundred twenty".