53838864 has 80 divisors (see below), whose sum is σ = 163650240. Its totient is φ = 16888320.

The previous prime is 53838839. The next prime is 53838893. The reversal of 53838864 is 46883835.

53838864 is a `hidden beast` number, since 538 + 38 + 86 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3679 + ... + 11009.

It is an arithmetic number, because the mean of its divisors is an integer number (2045628).

Almost surely, 2^53838864 is an apocalyptic number.

53838864 is a gapful number since it is divisible by the number (54) 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 53838864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81825120).

53838864 is an abundant number, since it is smaller than the sum of its proper divisors (109811376).

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

53838864 is a wasteful number, since it uses less digits than its factorization.

53838864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7365 (or 7353 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 53838864 is about 7337.4971209534. The cubic root of 53838864 is about 377.5999799507.

The spelling of 53838864 in words is "fifty-three million, eight hundred thirty-eight thousand, eight hundred sixty-four".