59051664 has 90 divisors (see below), whose sum is σ = 192267270. Its totient is φ = 16869888.

The previous prime is 59051633. The next prime is 59051689. The reversal of 59051664 is 46615095.

59051664 is a `hidden beast` number, since 590 + 5 + 1 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 4410000 = 7392^2 + 2100^2 .

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 17 ways as a sum of consecutive naturals, for example, 2872 + ... + 11240.

It is an arithmetic number, because the mean of its divisors is an integer number (2136303).

Almost surely, 2^59051664 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 59051664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96133635).

59051664 is an abundant number, since it is smaller than the sum of its proper divisors (133215606).

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

59051664 is a wasteful number, since it uses less digits than its factorization.

59051664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8397 (or 8381 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 59051664 is about 7684.5080519185. The cubic root of 59051664 is about 389.4132399426.

It can be divided in two parts, 5905 and 1664, that added together give a square (7569 = 87²).

The spelling of 59051664 in words is "fifty-nine million, fifty-one thousand, six hundred sixty-four".