56787276 has 288 divisors, whose sum is σ = 193052160. Its totient is φ = 12773376.

The previous prime is 56787271. The next prime is 56787281. The reversal of 56787276 is 67278765.

56787276 = 169² + 170² + ... + 559².

It is an interprime number because it is at equal distance from previous prime (56787271) and next prime (56787281).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

Its product of digits (987840) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (56787271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2469001 + ... + 2469023.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^56787276 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 56787276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

56787276 is an abundant number, since it is smaller than the sum of its proper divisors (136264884).

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

56787276 is a wasteful number, since it uses less digits than its factorization.

56787276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 84 counting only the distinct ones).

The product of its digits is 987840, while the sum is 48.

The square root of 56787276 is about 7535.7332755346. The cubic root of 56787276 is about 384.3707627797.

The spelling of 56787276 in words is "fifty-six million, seven hundred eighty-seven thousand, two hundred seventy-six".