54014976 has 66 divisors (see below), whose sum is σ = 155993682. Its totient is φ = 18001920.

The previous prime is 54014959. The next prime is 54014977. The reversal of 54014976 is 67941045.

54014976 is a `hidden beast` number, since 540 + 1 + 49 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45158400 + 8856576 = 6720^2 + 2976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54014976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54014977) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6286 + ... + 12146.

Almost surely, 2^54014976 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 54014976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77996841).

54014976 is an abundant number, since it is smaller than the sum of its proper divisors (101978706).

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

54014976 is a wasteful number, since it uses less digits than its factorization.

54014976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5887 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 54014976 is about 7349.4881454425. The cubic root of 54014976 is about 378.0112535492.

It can be divided in two parts, 540149 and 76, that added together give a square (540225 = 735²).

The spelling of 54014976 in words is "fifty-four million, fourteen thousand, nine hundred seventy-six".