54801792 has 128 divisors (see below), whose sum is σ = 164383200. Its totient is φ = 17971200.

The previous prime is 54801787. The next prime is 54801809. The reversal of 54801792 is 29710845.

54801792 is a `hidden beast` number, since 5 + 480 + 179 + 2 = 666.

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

It is a super-2 number, since 2×54801792² = 6006472812822528, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 348978 + ... + 349134.

Almost surely, 2^54801792 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 54801792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82191600).

54801792 is an abundant number, since it is smaller than the sum of its proper divisors (109581408).

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

54801792 is a wasteful number, since it uses less digits than its factorization.

54801792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 54801792 is about 7402.8232452221. The cubic root of 54801792 is about 379.8378625007.

The spelling of 54801792 in words is "fifty-four million, eight hundred one thousand, seven hundred ninety-two".