56416320 has 168 divisors, whose sum is σ = 204459840. Its totient is φ = 14238720.

The previous prime is 56416291. The next prime is 56416337. The reversal of 56416320 is 2361465.

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 23 ways as a sum of consecutive naturals, for example, 54205 + ... + 55235.

Almost surely, 2^56416320 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 56416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102229920).

56416320 is an abundant number, since it is smaller than the sum of its proper divisors (148043520).

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

56416320 is a wasteful number, since it uses less digits than its factorization.

56416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56416320 is about 7511.0798158454. The cubic root of 56416320 is about 383.5319818959.

Adding to 56416320 its reverse (2361465), we get a palindrome (58777785).

The spelling of 56416320 in words is "fifty-six million, four hundred sixteen thousand, three hundred twenty".