59366016 has 96 divisors (see below), whose sum is σ = 176822100. Its totient is φ = 19095552.

The previous prime is 59365997. The next prime is 59366033. The reversal of 59366016 is 61066395.

59366016 is a `hidden beast` number, since 593 + 6 + 60 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59351616 + 14400 = 7704^2 + 120^2 .

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32520 + ... + 34296.

Almost surely, 2^59366016 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 59366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88411050).

59366016 is an abundant number, since it is smaller than the sum of its proper divisors (117456084).

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

59366016 is a wasteful number, since it uses less digits than its factorization.

59366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 59366016 is about 7704.9345227588. The cubic root of 59366016 is about 390.1030102650.

The spelling of 59366016 in words is "fifty-nine million, three hundred sixty-six thousand, sixteen".