52668480 has 112 divisors (see below), whose sum is σ = 169493184. Its totient is φ = 13854720.

The previous prime is 52668479. The next prime is 52668487. The reversal of 52668480 is 8486625.

It is not an unprimeable number, because it can be changed into a prime (52668487) 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, 79350 + ... + 80010.

It is an arithmetic number, because the mean of its divisors is an integer number (1513332).

Almost surely, 2^52668480 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 52668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84746592).

52668480 is an abundant number, since it is smaller than the sum of its proper divisors (116824704).

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

52668480 is a wasteful number, since it uses less digits than its factorization.

52668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 52668480 is about 7257.3052850214. The cubic root of 52668480 is about 374.8437393404.

It can be divided in two parts, 526 and 68480, that added together give a triangular number (69006 = T₃₇₁).

The spelling of 52668480 in words is "fifty-two million, six hundred sixty-eight thousand, four hundred eighty".