52952960 has 128 divisors (see below), whose sum is σ = 139242240. Its totient is φ = 19169280.

The previous prime is 52952917. The next prime is 52952983. The reversal of 52952960 is 6925925.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337202 + ... + 337358.

It is an arithmetic number, because the mean of its divisors is an integer number (1087830).

Almost surely, 2^52952960 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 52952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69621120).

52952960 is an abundant number, since it is smaller than the sum of its proper divisors (86289280).

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

52952960 is a wasteful number, since it uses less digits than its factorization.

52952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 52952960 is about 7276.8784516439. The cubic root of 52952960 is about 375.5174131687.

The spelling of 52952960 in words is "fifty-two million, nine hundred fifty-two thousand, nine hundred sixty".