556767120 has 480 divisors, whose sum is σ = 2235071232. Its totient is φ = 112140288.

The previous prime is 556767103. The next prime is 556767121. The reversal of 556767120 is 21767655.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is not an unprimeable number, because it can be changed into a prime (556767121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10505014 + ... + 10505066.

Almost surely, 2^556767120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556767120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117535616).

556767120 is an abundant number, since it is smaller than the sum of its proper divisors (1678304112).

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

556767120 is a wasteful number, since it uses less digits than its factorization.

556767120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 556767120 is about 23595.9132054684. The cubic root of 556767120 is about 822.6678525265.

The spelling of 556767120 in words is "five hundred fifty-six million, seven hundred sixty-seven thousand, one hundred twenty".