54978336 has 72 divisors (see below), whose sum is σ = 178686144. Its totient is φ = 15707520.

The previous prime is 54978317. The next prime is 54978359. The reversal of 54978336 is 63387945.

54978336 is a `hidden beast` number, since 549 + 78 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 54978291 and 54978300.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11620 + ... + 15651.

It is an arithmetic number, because the mean of its divisors is an integer number (2481752).

Almost surely, 2^54978336 is an apocalyptic number.

54978336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

54978336 is an abundant number, since it is smaller than the sum of its proper divisors (123707808).

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

54978336 is a wasteful number, since it uses less digits than its factorization.

54978336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27294 (or 27283 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 54978336 is about 7414.7377566573. The cubic root of 54978336 is about 380.2453079054.

The spelling of 54978336 in words is "fifty-four million, nine hundred seventy-eight thousand, three hundred thirty-six".