56416416 has 96 divisors (see below), whose sum is σ = 173900160. Its totient is φ = 15676416.

The previous prime is 56416411. The next prime is 56416417. The reversal of 56416416 is 61461465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (56416411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23730 + ... + 25998.

It is an arithmetic number, because the mean of its divisors is an integer number (1811460).

Almost surely, 2^56416416 is an apocalyptic number.

56416416 is a gapful number since it is divisible by the number (56) 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 56416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86950080).

56416416 is an abundant number, since it is smaller than the sum of its proper divisors (117483744).

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

56416416 is a wasteful number, since it uses less digits than its factorization.

56416416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2318 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 56416416 is about 7511.0862064018. The cubic root of 56416416 is about 383.5321994397.

The spelling of 56416416 in words is "fifty-six million, four hundred sixteen thousand, four hundred sixteen".