54516540 has 96 divisors (see below), whose sum is σ = 168920640. Its totient is φ = 13049856.

The previous prime is 54516499. The next prime is 54516541. The reversal of 54516540 is 4561545.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54516498 and 54516507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54516541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27916 + ... + 29804.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 2^54516540 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 54516540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84460320).

54516540 is an abundant number, since it is smaller than the sum of its proper divisors (114404100).

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

54516540 is a wasteful number, since it uses less digits than its factorization.

54516540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 54516540 is about 7383.5316752893. The cubic root of 54516540 is about 379.1776769871.

The spelling of 54516540 in words is "fifty-four million, five hundred sixteen thousand, five hundred forty".