54541920 has 96 divisors (see below), whose sum is σ = 172972800. Its totient is φ = 14446080.

The previous prime is 54541909. The next prime is 54541937. The reversal of 54541920 is 2914545.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 95235 + ... + 95805.

It is an arithmetic number, because the mean of its divisors is an integer number (1801800).

Almost surely, 2^54541920 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 54541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

54541920 is an abundant number, since it is smaller than the sum of its proper divisors (118430880).

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

54541920 is a wasteful number, since it uses less digits than its factorization.

54541920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 54541920 is about 7385.2501650249. The cubic root of 54541920 is about 379.2365095079.

The spelling of 54541920 in words is "fifty-four million, five hundred forty-one thousand, nine hundred twenty".