54169920 has 168 divisors, whose sum is σ = 213018624. Its totient is φ = 12377088.

The previous prime is 54169909. The next prime is 54169963. The reversal of 54169920 is 2996145.

54169920 is a `hidden beast` number, since 541 + 6 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

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, 18817 + ... + 21503.

It is an arithmetic number, because the mean of its divisors is an integer number (1267968).

Almost surely, 2^54169920 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 54169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106509312).

54169920 is an abundant number, since it is smaller than the sum of its proper divisors (158848704).

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

54169920 is a wasteful number, since it uses less digits than its factorization.

54169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 54169920 is about 7360.0217390983. The cubic root of 54169920 is about 378.3723550135.

The spelling of 54169920 in words is "fifty-four million, one hundred sixty-nine thousand, nine hundred twenty".