56306016 has 144 divisors (see below), whose sum is σ = 179144784. Its totient is φ = 17293824.

The previous prime is 56306011. The next prime is 56306017. The reversal of 56306016 is 61060365.

56306016 is a `hidden beast` number, since 56 + 3 + 0 + 601 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56306011) 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, 100810 + ... + 101366.

It is an arithmetic number, because the mean of its divisors is an integer number (1244061).

Almost surely, 2^56306016 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 56306016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89572392).

56306016 is an abundant number, since it is smaller than the sum of its proper divisors (122838768).

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

56306016 is a wasteful number, since it uses less digits than its factorization.

56306016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 56306016 is about 7503.7334707464. The cubic root of 56306016 is about 383.2818609317.

The spelling of 56306016 in words is "fifty-six million, three hundred six thousand, sixteen".