54984576 has 96 divisors (see below), whose sum is σ = 151929000. Its totient is φ = 17617920.

The previous prime is 54984571. The next prime is 54984577. The reversal of 54984576 is 67548945.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54984571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368950 + ... + 369098.

Almost surely, 2^54984576 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 54984576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75964500).

54984576 is an abundant number, since it is smaller than the sum of its proper divisors (96944424).

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

54984576 is a wasteful number, since it uses less digits than its factorization.

54984576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 185 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 54984576 is about 7415.1585283121. The cubic root of 54984576 is about 380.2596932139.

The spelling of 54984576 in words is "fifty-four million, nine hundred eighty-four thousand, five hundred seventy-six".