56826720 has 288 divisors, whose sum is σ = 213857280. Its totient is φ = 13685760.

The previous prime is 56826719. The next prime is 56826743. The reversal of 56826720 is 2762865.

56826720 is a `hidden beast` number, since 568 + 26 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×56826720² = 6458552211916800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 848127 + ... + 848193.

It is an arithmetic number, because the mean of its divisors is an integer number (742560).

Almost surely, 2^56826720 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 56826720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

56826720 is an abundant number, since it is smaller than the sum of its proper divisors (157030560).

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

56826720 is a wasteful number, since it uses less digits than its factorization.

56826720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56826720 is about 7538.3499520784. The cubic root of 56826720 is about 384.4597358297.

The spelling of 56826720 in words is "fifty-six million, eight hundred twenty-six thousand, seven hundred twenty".