53845920 has 144 divisors (see below), whose sum is σ = 187066152. Its totient is φ = 14100480.

The previous prime is 53845901. The next prime is 53845963. The reversal of 53845920 is 2954835.

It can be written as a sum of positive squares in 4 ways, for example, as 9809424 + 44036496 = 3132^2 + 6636^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87534 + ... + 88146.

Almost surely, 2^53845920 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 53845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93533076).

53845920 is an abundant number, since it is smaller than the sum of its proper divisors (133220232).

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

53845920 is a wasteful number, since it uses less digits than its factorization.

53845920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 53845920 is about 7337.9779231066. The cubic root of 53845920 is about 377.6164750305.

The spelling of 53845920 in words is "fifty-three million, eight hundred forty-five thousand, nine hundred twenty".