56602080 has 144 divisors (see below), whose sum is σ = 201670560. Its totient is φ = 14429184.

The previous prime is 56602079. The next prime is 56602081. The reversal of 56602080 is 8020665.

56602080 is a `hidden beast` number, since 56 + 602 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56602079) and next prime (56602081).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56602081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32266 + ... + 33974.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2^56602080 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 56602080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

56602080 is an abundant number, since it is smaller than the sum of its proper divisors (145068480).

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

56602080 is a wasteful number, since it uses less digits than its factorization.

56602080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56602080 is about 7523.4353855137. The cubic root of 56602080 is about 383.9524680750.

The spelling of 56602080 in words is "fifty-six million, six hundred two thousand, eighty".