53838960 has 160 divisors (see below), whose sum is σ = 193797120. Its totient is φ = 12109824.

The previous prime is 53838947. The next prime is 53838973. The reversal of 53838960 is 6983835.

It is an interprime number because it is at equal distance from previous prime (53838947) and next prime (53838973).

It is a super-2 number, since 2×53838960² = 5797267227763200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 122421 + ... + 122859.

It is an arithmetic number, because the mean of its divisors is an integer number (1211232).

Almost surely, 2^53838960 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 53838960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96898560).

53838960 is an abundant number, since it is smaller than the sum of its proper divisors (139958160).

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

53838960 is a wasteful number, since it uses less digits than its factorization.

53838960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 53838960 is about 7337.5036626907. The cubic root of 53838960 is about 377.6002043832.

The spelling of 53838960 in words is "fifty-three million, eight hundred thirty-eight thousand, nine hundred sixty".