56306880 has 448 divisors, whose sum is σ = 243840000. Its totient is φ = 12192768.

The previous prime is 56306879. The next prime is 56306891. The reversal of 56306880 is 8860365.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963511 + ... + 2963529.

Almost surely, 2^56306880 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 56306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121920000).

56306880 is an abundant number, since it is smaller than the sum of its proper divisors (187533120).

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

56306880 is a wasteful number, since it uses less digits than its factorization.

56306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56306880 is about 7503.7910418668. The cubic root of 56306880 is about 383.2838213725.

It can be divided in two parts, 56 and 306880, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 56306880 in words is "fifty-six million, three hundred six thousand, eight hundred eighty".