56727540 has 180 divisors, whose sum is σ = 189751716. Its totient is φ = 14183424.

The previous prime is 56727533. The next prime is 56727553. The reversal of 56727540 is 4572765.

It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 33802596 = 4788^2 + 5814^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 56727495 and 56727504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 584772 + ... + 584868.

Almost surely, 2^56727540 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 56727540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94875858).

56727540 is an abundant number, since it is smaller than the sum of its proper divisors (133024176).

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

56727540 is a wasteful number, since it uses less digits than its factorization.

56727540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 56727540 is about 7531.7687165765. The cubic root of 56727540 is about 384.2359389880.

The spelling of 56727540 in words is "fifty-six million, seven hundred twenty-seven thousand, five hundred forty".