51564160 has 128 divisors (see below), whose sum is σ = 133954560. Its totient is φ = 18923520.

The previous prime is 51564151. The next prime is 51564167. The reversal of 51564160 is 6146515.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (51564167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456264 + ... + 456376.

It is an arithmetic number, because the mean of its divisors is an integer number (1046520).

Almost surely, 2^51564160 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 51564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66977280).

51564160 is an abundant number, since it is smaller than the sum of its proper divisors (82390400).

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

51564160 is a wasteful number, since it uses less digits than its factorization.

51564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 51564160 is about 7180.8188948058. The cubic root of 51564160 is about 372.2053824052.

It can be divided in two parts, 5156 and 4160, that added together give a triangular number (9316 = T₁₃₆).

The spelling of 51564160 in words is "fifty-one million, five hundred sixty-four thousand, one hundred sixty".