56506878 has 48 divisors (see below), whose sum is σ = 132425280. Its totient is φ = 17346048.

The previous prime is 56506873. The next prime is 56506903. The reversal of 56506878 is 87860565.

56506878 is a `hidden beast` number, since 565 + 0 + 6 + 87 + 8 = 666.

It is a super-2 number, since 2×56506878² = 6386054522613768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56506871) 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, 12418 + ... + 16346.

It is an arithmetic number, because the mean of its divisors is an integer number (2758860).

Almost surely, 2^56506878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56506878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66212640).

56506878 is an abundant number, since it is smaller than the sum of its proper divisors (75918402).

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

56506878 is a wasteful number, since it uses less digits than its factorization.

56506878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 56506878 is about 7517.1056930178. The cubic root of 56506878 is about 383.7370840260.

The spelling of 56506878 in words is "fifty-six million, five hundred six thousand, eight hundred seventy-eight".