56508192 has 216 divisors, whose sum is σ = 184648464. Its totient is φ = 16982784.

The previous prime is 56508167. The next prime is 56508197. The reversal of 56508192 is 29180565.

It is a happy number.

56508192 is a `hidden beast` number, since 565 + 0 + 8 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (56508197) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1314123 + ... + 1314165.

It is an arithmetic number, because the mean of its divisors is an integer number (854854).

Almost surely, 2^56508192 is an apocalyptic number.

56508192 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56508192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92324232).

56508192 is an abundant number, since it is smaller than the sum of its proper divisors (128140272).

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

56508192 is a wasteful number, since it uses less digits than its factorization.

56508192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 56508192 is about 7517.1930931698. The cubic root of 56508192 is about 383.7400584522.

The spelling of 56508192 in words is "fifty-six million, five hundred eight thousand, one hundred ninety-two".