52638080 has 64 divisors (see below), whose sum is σ = 137296080. Its totient is φ = 19138560.

The previous prime is 52638043. The next prime is 52638083. The reversal of 52638080 is 8083625.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52638083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3302 + ... + 10778.

Almost surely, 2^52638080 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 52638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68648040).

52638080 is an abundant number, since it is smaller than the sum of its proper divisors (84658000).

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

52638080 is a wasteful number, since it uses less digits than its factorization.

52638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7507 (or 7495 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 52638080 is about 7255.2105413971. The cubic root of 52638080 is about 374.7716061100.

The spelling of 52638080 in words is "fifty-two million, six hundred thirty-eight thousand, eighty".