56787552 has 72 divisors (see below), whose sum is σ = 168530544. Its totient is φ = 18104064.

The previous prime is 56787551. The next prime is 56787557. The reversal of 56787552 is 25578765.

56787552 is a `hidden beast` number, since 567 + 87 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 56787498 and 56787507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56787551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2338 + ... + 10910.

It is an arithmetic number, because the mean of its divisors is an integer number (2340702).

Almost surely, 2^56787552 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 56787552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84265272).

56787552 is an abundant number, since it is smaller than the sum of its proper divisors (111742992).

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

56787552 is a wasteful number, since it uses less digits than its factorization.

56787552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612 (or 8601 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 56787552 is about 7535.7515882624. The cubic root of 56787552 is about 384.3713854905.

The spelling of 56787552 in words is "fifty-six million, seven hundred eighty-seven thousand, five hundred fifty-two".