54087936 has 72 divisors (see below), whose sum is σ = 164533824. Its totient is φ = 15452160.

The previous prime is 54087923. The next prime is 54087947. The reversal of 54087936 is 63978045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346 + ... + 10406.

It is an arithmetic number, because the mean of its divisors is an integer number (2285192).

Almost surely, 2^54087936 is an apocalyptic number.

54087936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54087936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82266912).

54087936 is an abundant number, since it is smaller than the sum of its proper divisors (110445888).

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

54087936 is a wasteful number, since it uses less digits than its factorization.

54087936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10087 (or 10073 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 54087936 is about 7354.4500814133. The cubic root of 54087936 is about 378.1813748426.

The spelling of 54087936 in words is "fifty-four million, eighty-seven thousand, nine hundred thirty-six".