52158960 has 240 divisors, whose sum is σ = 204272640. Its totient is φ = 11681280.

The previous prime is 52158959. The next prime is 52158961. The reversal of 52158960 is 6985125.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52158959) and next prime (52158961).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52158961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398095 + ... + 398225.

It is an arithmetic number, because the mean of its divisors is an integer number (851136).

Almost surely, 2^52158960 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 52158960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102136320).

52158960 is an abundant number, since it is smaller than the sum of its proper divisors (152113680).

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

52158960 is a wasteful number, since it uses less digits than its factorization.

52158960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 52158960 is about 7222.1160334074. The cubic root of 52158960 is about 373.6310621050.

The spelling of 52158960 in words is "fifty-two million, one hundred fifty-eight thousand, nine hundred sixty".