56954016 has 240 divisors, whose sum is σ = 198563904. Its totient is φ = 15676416.

The previous prime is 56953997. The next prime is 56954021. The reversal of 56954016 is 61045965.

56954016 = T₁₉₃ + T₁₉₄ + ... + T₇₀₃.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 780156 + ... + 780228.

Almost surely, 2^56954016 is an apocalyptic number.

56954016 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 56954016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99281952).

56954016 is an abundant number, since it is smaller than the sum of its proper divisors (141609888).

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

56954016 is a wasteful number, since it uses less digits than its factorization.

56954016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 56954016 is about 7546.7884560255. The cubic root of 56954016 is about 384.7465943636.

The spelling of 56954016 in words is "fifty-six million, nine hundred fifty-four thousand, sixteen".