54865920 has 208 divisors, whose sum is σ = 188720640. Its totient is φ = 13565952.

The previous prime is 54865903. The next prime is 54865933. The reversal of 54865920 is 2956845.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167337 + ... + 1167383.

Almost surely, 2^54865920 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 54865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94360320).

54865920 is an abundant number, since it is smaller than the sum of its proper divisors (133854720).

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

54865920 is a wasteful number, since it uses less digits than its factorization.

54865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 54865920 is about 7407.1532993452. The cubic root of 54865920 is about 379.9859643939.

The spelling of 54865920 in words is "fifty-four million, eight hundred sixty-five thousand, nine hundred twenty".