52814640 has 80 divisors (see below), whose sum is σ = 164462688. Its totient is φ = 14020608.

The previous prime is 52814633. The next prime is 52814687. The reversal of 52814640 is 4641825.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 52814598 and 52814607.

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, 80554 + ... + 81206.

Almost surely, 2^52814640 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 52814640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82231344).

52814640 is an abundant number, since it is smaller than the sum of its proper divisors (111648048).

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

52814640 is a wasteful number, since it uses less digits than its factorization.

52814640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 52814640 is about 7267.3681618589. The cubic root of 52814640 is about 375.1901613313.

The spelling of 52814640 in words is "fifty-two million, eight hundred fourteen thousand, six hundred forty".