54951984 has 60 divisors (see below), whose sum is σ = 159104400. Its totient is φ = 17684352.

The previous prime is 54951959. The next prime is 54951989. The reversal of 54951984 is 48915945.

54951984 is a `hidden beast` number, since 54 + 9 + 519 + 84 = 666.

It is a super-3 number, since 3×54951984³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (54951989) 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, 2404 + ... + 10755.

It is an arithmetic number, because the mean of its divisors is an integer number (2651740).

Almost surely, 2^54951984 is an apocalyptic number.

It is an amenable number.

54951984 is an abundant number, since it is smaller than the sum of its proper divisors (104152416).

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

54951984 is a wasteful number, since it uses less digits than its factorization.

54951984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13202 (or 13193 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 54951984 is about 7412.9605421856. The cubic root of 54951984 is about 380.1845456340.

The spelling of 54951984 in words is "fifty-four million, nine hundred fifty-one thousand, nine hundred eighty-four".