56496960 has 224 divisors, whose sum is σ = 215066880. Its totient is φ = 13879296.

The previous prime is 56496953. The next prime is 56496983. The reversal of 56496960 is 6969465.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112069 + ... + 112571.

It is an arithmetic number, because the mean of its divisors is an integer number (960120).

Almost surely, 2^56496960 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 56496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

56496960 is an abundant number, since it is smaller than the sum of its proper divisors (158569920).

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

56496960 is a wasteful number, since it uses less digits than its factorization.

56496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 56496960 is about 7516.4459686743. The cubic root of 56496960 is about 383.7146317321.

The spelling of 56496960 in words is "fifty-six million, four hundred ninety-six thousand, nine hundred sixty".