52564160 has 112 divisors (see below), whose sum is σ = 138805920. Its totient is φ = 18800640.

The previous prime is 52564121. The next prime is 52564199. The reversal of 52564160 is 6146525.

It is an interprime number because it is at equal distance from previous prime (52564121) and next prime (52564199).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383612 + ... + 383748.

Almost surely, 2^52564160 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 52564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69402960).

52564160 is an abundant number, since it is smaller than the sum of its proper divisors (86241760).

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

52564160 is a wasteful number, since it uses less digits than its factorization.

52564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 52564160 is about 7250.1144818548. The cubic root of 52564160 is about 374.5960925203.

The spelling of 52564160 in words is "fifty-two million, five hundred sixty-four thousand, one hundred sixty".