56746008 has 160 divisors (see below), whose sum is σ = 182952000. Its totient is φ = 16251840.

The previous prime is 56746007. The next prime is 56746033. The reversal of 56746008 is 80064765.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56746007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135223 + ... + 135641.

It is an arithmetic number, because the mean of its divisors is an integer number (1143450).

Almost surely, 2^56746008 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 56746008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91476000).

56746008 is an abundant number, since it is smaller than the sum of its proper divisors (126205992).

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

56746008 is a wasteful number, since it uses less digits than its factorization.

56746008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56746008 is about 7532.9946236540. The cubic root of 56746008 is about 384.2776312560.

The spelling of 56746008 in words is "fifty-six million, seven hundred forty-six thousand, eight".