556208640 has 320 divisors, whose sum is σ = 2131113600. Its totient is φ = 136691712.

The previous prime is 556208621. The next prime is 556208657. The reversal of 556208640 is 46802655.

556208640 is a `hidden beast` number, since 5 + 5 + 6 + 2 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 556208595 and 556208604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898251 + ... + 898869.

It is an arithmetic number, because the mean of its divisors is an integer number (6659730).

Almost surely, 2^556208640 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 556208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065556800).

556208640 is an abundant number, since it is smaller than the sum of its proper divisors (1574904960).

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

556208640 is a wasteful number, since it uses less digits than its factorization.

556208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 556208640 is about 23584.0759835954. The cubic root of 556208640 is about 822.3926942479.

The spelling of 556208640 in words is "five hundred fifty-six million, two hundred eight thousand, six hundred forty".