53932840 has 64 divisors (see below), whose sum is σ = 138393360. Its totient is φ = 18739200.

The previous prime is 53932799. The next prime is 53932841. The reversal of 53932840 is 4823935.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24186724 + 29746116 = 4918^2 + 5454^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 53932796 and 53932805.

It is not an unprimeable number, because it can be changed into a prime (53932841) 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, 5790 + ... + 11890.

Almost surely, 2^53932840 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 53932840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69196680).

53932840 is an abundant number, since it is smaller than the sum of its proper divisors (84460520).

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

53932840 is a wasteful number, since it uses less digits than its factorization.

53932840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6142 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 53932840 is about 7343.8981474419. The cubic root of 53932840 is about 377.8195531144.

The spelling of 53932840 in words is "fifty-three million, nine hundred thirty-two thousand, eight hundred forty".