52279680 has 128 divisors (see below), whose sum is σ = 169377120. Its totient is φ = 13713408.

The previous prime is 52279679. The next prime is 52279687. The reversal of 52279680 is 8697225.

52279680 = 810² + 811² + ... + 882².

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52279687) 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, 139974 + ... + 140346.

Almost surely, 2^52279680 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 52279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84688560).

52279680 is an abundant number, since it is smaller than the sum of its proper divisors (117097440).

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

52279680 is a wasteful number, since it uses less digits than its factorization.

52279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 52279680 is about 7230.4688644652. The cubic root of 52279680 is about 373.9190918046.

The spelling of 52279680 in words is "fifty-two million, two hundred seventy-nine thousand, six hundred eighty".