56006676 has 72 divisors (see below), whose sum is σ = 155361024. Its totient is φ = 16871040.

The previous prime is 56006669. The next prime is 56006693. The reversal of 56006676 is 67660065.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56006676.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91965 + ... + 92571.

It is an arithmetic number, because the mean of its divisors is an integer number (2157792).

Almost surely, 2^56006676 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 56006676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77680512).

56006676 is an abundant number, since it is smaller than the sum of its proper divisors (99354348).

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

56006676 is a wasteful number, since it uses less digits than its factorization.

56006676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 56006676 is about 7483.7608192673. The cubic root of 56006676 is about 382.6014391987.

The spelling of 56006676 in words is "fifty-six million, six thousand, six hundred seventy-six".