52971840 has 112 divisors (see below), whose sum is σ = 186903360. Its totient is φ = 14123520.

The previous prime is 52971823. The next prime is 52971859. The reversal of 52971840 is 4817925.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52971795 and 52971804.

It is a congruent number.

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, 5575 + ... + 11705.

It is an arithmetic number, because the mean of its divisors is an integer number (1668780).

Almost surely, 2^52971840 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 52971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93451680).

52971840 is an abundant number, since it is smaller than the sum of its proper divisors (133931520).

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

52971840 is a wasteful number, since it uses less digits than its factorization.

52971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6157 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 52971840 is about 7278.1755955734. The cubic root of 52971840 is about 375.5620372169.

The spelling of 52971840 in words is "fifty-two million, nine hundred seventy-one thousand, eight hundred forty".