54014688 has 240 divisors, whose sum is σ = 196368480. Its totient is φ = 14183424.

The previous prime is 54014683. The next prime is 54014689. The reversal of 54014688 is 88641045.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54014683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235758 + ... + 235986.

It is an arithmetic number, because the mean of its divisors is an integer number (818202).

Almost surely, 2^54014688 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 54014688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98184240).

54014688 is an abundant number, since it is smaller than the sum of its proper divisors (142353792).

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

54014688 is a wasteful number, since it uses less digits than its factorization.

54014688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 54014688 is about 7349.4685522152. The cubic root of 54014688 is about 378.0105817144.

The spelling of 54014688 in words is "fifty-four million, fourteen thousand, six hundred eighty-eight".