55656720 has 240 divisors, whose sum is σ = 222069120. Its totient is φ = 12690432.

The previous prime is 55656707. The next prime is 55656737. The reversal of 55656720 is 2765655.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×55656720³ (a number of 24 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135876 + ... + 136284.

It is an arithmetic number, because the mean of its divisors is an integer number (925288).

Almost surely, 2^55656720 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 55656720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111034560).

55656720 is an abundant number, since it is smaller than the sum of its proper divisors (166412400).

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

55656720 is a wasteful number, since it uses less digits than its factorization.

55656720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 55656720 is about 7460.3431556464. The cubic root of 55656720 is about 381.8028825039.

The spelling of 55656720 in words is "fifty-five million, six hundred fifty-six thousand, seven hundred twenty".