556106432 has 112 divisors (see below), whose sum is σ = 1299959808. Its totient is φ = 231137280.

The previous prime is 556106429. The next prime is 556106471. The reversal of 556106432 is 234601655.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2911457 + ... + 2911647.

It is an arithmetic number, because the mean of its divisors is an integer number (11606784).

Almost surely, 2^556106432 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 556106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649979904).

556106432 is an abundant number, since it is smaller than the sum of its proper divisors (743853376).

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

556106432 is a wasteful number, since it uses less digits than its factorization.

556106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 556106432 is about 23581.9089982130. The cubic root of 556106432 is about 822.3423173116.

The spelling of 556106432 in words is "five hundred fifty-six million, one hundred six thousand, four hundred thirty-two".