54693520 has 80 divisors (see below), whose sum is σ = 146919168. Its totient is φ = 18547200.

The previous prime is 54693503. The next prime is 54693523. The reversal of 54693520 is 2539645.

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

It is a super-2 number, since 2×54693520² = 5982762259980800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54693523) 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, 56077 + ... + 57043.

Almost surely, 2^54693520 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 54693520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73459584).

54693520 is an abundant number, since it is smaller than the sum of its proper divisors (92225648).

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

54693520 is a wasteful number, since it uses less digits than its factorization.

54693520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 54693520 is about 7395.5067439629. The cubic root of 54693520 is about 379.5875487948.

The spelling of 54693520 in words is "fifty-four million, six hundred ninety-three thousand, five hundred twenty".