56545216 has 168 divisors, whose sum is σ = 149992080. Its totient is φ = 20901888.

The previous prime is 56545211. The next prime is 56545217. The reversal of 56545216 is 61254565.

It is a super-2 number, since 2×56545216² = 6394722904973312, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56545211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774556 + ... + 774628.

It is an arithmetic number, because the mean of its divisors is an integer number (892810).

Almost surely, 2^56545216 is an apocalyptic number.

56545216 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 56545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74996040).

56545216 is an abundant number, since it is smaller than the sum of its proper divisors (93446864).

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

56545216 is a wasteful number, since it uses less digits than its factorization.

56545216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

The square root of 56545216 is about 7519.6553112493. The cubic root of 56545216 is about 383.8238486050.

The spelling of 56545216 in words is "fifty-six million, five hundred forty-five thousand, two hundred sixteen".