53909856 has 432 divisors, whose sum is σ = 219596832. Its totient is φ = 12165120.

The previous prime is 53909833. The next prime is 53909879. The reversal of 53909856 is 65890935.

It is an interprime number because it is at equal distance from previous prime (53909833) and next prime (53909879).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3171160 + ... + 3171176.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 2^53909856 is an apocalyptic number.

53909856 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 53909856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109798416).

53909856 is an abundant number, since it is smaller than the sum of its proper divisors (165686976).

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

53909856 is a wasteful number, since it uses less digits than its factorization.

53909856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 53909856 is about 7342.3331441715. Note that the first 3 decimals coincide. The cubic root of 53909856 is about 377.7658750062.

It can be divided in two parts, 53 and 909856, that added together give a palindrome (909909).

The spelling of 53909856 in words is "fifty-three million, nine hundred nine thousand, eight hundred fifty-six".