556539984 has 540 divisors, whose sum is σ = 2197130208. Its totient is φ = 133436160.

The previous prime is 556539943. The next prime is 556540009. The reversal of 556539984 is 489935655.

It is a happy number.

556539984 is a `hidden beast` number, since 556 + 5 + 3 + 9 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5832000) is a multiple of the sum of its prime divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 556539984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 42810762 + ... + 42810774.

Almost surely, 2^556539984 is an apocalyptic number.

556539984 is a gapful number since it is divisible by the number (54) 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 556539984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098565104).

556539984 is an abundant number, since it is smaller than the sum of its proper divisors (1640590224).

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

556539984 is a wasteful number, since it uses less digits than its factorization.

556539984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 556539984 is about 23591.0996776327. The cubic root of 556539984 is about 822.5559667881. Note that the first 3 decimals are identical.

The spelling of 556539984 in words is "five hundred fifty-six million, five hundred thirty-nine thousand, nine hundred eighty-four".