53984640 has 128 divisors (see below), whose sum is σ = 177822720. Its totient is φ = 13916160.

The previous prime is 53984627. The next prime is 53984653. The reversal of 53984640 is 4648935.

It is an interprime number because it is at equal distance from previous prime (53984627) and next prime (53984653).

It is a tau number, because it is divible by the number of its divisors (128).

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, 59067 + ... + 59973.

It is an arithmetic number, because the mean of its divisors is an integer number (1389240).

Almost surely, 2^53984640 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 53984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88911360).

53984640 is an abundant number, since it is smaller than the sum of its proper divisors (123838080).

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

53984640 is a wasteful number, since it uses less digits than its factorization.

53984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 53984640 is about 7347.4240383960. The cubic root of 53984640 is about 377.9404738157.

The spelling of 53984640 in words is "fifty-three million, nine hundred eighty-four thousand, six hundred forty".