55564704 has 240 divisors, whose sum is σ = 188257608. Its totient is φ = 15925248.

The previous prime is 55564703. The next prime is 55564709. The reversal of 55564704 is 40746555.

It is a happy number.

55564704 is a `hidden beast` number, since 5 + 5 + 5 + 647 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44355600 + 11209104 = 6660^2 + 3348^2 .

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

It is not an unprimeable number, because it can be changed into a prime (55564703) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 572784 + ... + 572880.

Almost surely, 2^55564704 is an apocalyptic number.

55564704 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 55564704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94128804).

55564704 is an abundant number, since it is smaller than the sum of its proper divisors (132692904).

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

55564704 is a wasteful number, since it uses less digits than its factorization.

55564704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 55564704 is about 7454.1735960467. The cubic root of 55564704 is about 381.5923577442.

The spelling of 55564704 in words is "fifty-five million, five hundred sixty-four thousand, seven hundred four".