56122416 has 160 divisors (see below), whose sum is σ = 187527680. Its totient is φ = 15738624.

The previous prime is 56122387. The next prime is 56122427. The reversal of 56122416 is 61422165.

56122416 is a `hidden beast` number, since 5 + 612 + 2 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 56122416.

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, 202470 + ... + 202746.

It is an arithmetic number, because the mean of its divisors is an integer number (1172048).

Almost surely, 2^56122416 is an apocalyptic number.

56122416 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 56122416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93763840).

56122416 is an abundant number, since it is smaller than the sum of its proper divisors (131405264).

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

56122416 is a wasteful number, since it uses less digits than its factorization.

56122416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 56122416 is about 7491.4895715071. The cubic root of 56122416 is about 382.8648115024.

The spelling of 56122416 in words is "fifty-six million, one hundred twenty-two thousand, four hundred sixteen".