52962560 has 144 divisors (see below), whose sum is σ = 151877376. Its totient is φ = 17301504.

The previous prime is 52962527. The next prime is 52962563. The reversal of 52962560 is 6526925.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 52962560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52962563) by changing a digit.

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, 205952 + ... + 206208.

It is an arithmetic number, because the mean of its divisors is an integer number (1054704).

Almost surely, 2^52962560 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 52962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75938688).

52962560 is an abundant number, since it is smaller than the sum of its proper divisors (98914816).

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

52962560 is a wasteful number, since it uses less digits than its factorization.

52962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 52962560 is about 7277.5380452458. The cubic root of 52962560 is about 375.5401046880.

The spelling of 52962560 in words is "fifty-two million, nine hundred sixty-two thousand, five hundred sixty".