56006784 has 96 divisors (see below), whose sum is σ = 164012940. Its totient is φ = 18339840.

The previous prime is 56006777. The next prime is 56006791. The reversal of 56006784 is 48760065.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56006777) and next prime (56006791).

It can be written as a sum of positive squares in 2 ways, for example, as 50808384 + 5198400 = 7128^2 + 2280^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69874 + ... + 70670.

Almost surely, 2^56006784 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 56006784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82006470).

56006784 is an abundant number, since it is smaller than the sum of its proper divisors (108006156).

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

56006784 is a wasteful number, since it uses less digits than its factorization.

56006784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 863 counting only the distinct ones).

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

The square root of 56006784 is about 7483.7680348872. The cubic root of 56006784 is about 382.6016851273.

The spelling of 56006784 in words is "fifty-six million, six thousand, seven hundred eighty-four".