120557640 has 256 divisors, whose sum is σ = 440640000. Its totient is φ = 26342400.

The previous prime is 120557639. The next prime is 120557653. The reversal of 120557640 is 46755021.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 120557598 and 120557607.

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, 1193590 + ... + 1193690.

It is an arithmetic number, because the mean of its divisors is an integer number (1721250).

Almost surely, 2^120557640 is an apocalyptic number.

120557640 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 120557640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320000).

120557640 is an abundant number, since it is smaller than the sum of its proper divisors (320082360).

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

120557640 is a wasteful number, since it uses less digits than its factorization.

120557640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 120557640 is about 10979.8743162206. The cubic root of 120557640 is about 494.0052669263.

The spelling of 120557640 in words is "one hundred twenty million, five hundred fifty-seven thousand, six hundred forty".