56010768 has 80 divisors (see below), whose sum is σ = 161584896. Its totient is φ = 16571520.

The previous prime is 56010761. The next prime is 56010791. The reversal of 56010768 is 86701065.

It is a super-2 number, since 2×56010768² = 6274412263899648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is not an unprimeable number, because it can be changed into a prime (56010761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21471 + ... + 23937.

Almost surely, 2^56010768 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 56010768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80792448).

56010768 is an abundant number, since it is smaller than the sum of its proper divisors (105574128).

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

56010768 is a wasteful number, since it uses less digits than its factorization.

56010768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 56010768 is about 7484.0342062286. The cubic root of 56010768 is about 382.6107569388.

The spelling of 56010768 in words is "fifty-six million, ten thousand, seven hundred sixty-eight".