53910144 has 128 divisors (see below), whose sum is σ = 167688000. Its totient is φ = 17003520.

The previous prime is 53910139. The next prime is 53910151. The reversal of 53910144 is 44101935.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×53910144² = 5812607252201472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 65254 + ... + 66074.

Almost surely, 2^53910144 is an apocalyptic number.

53910144 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 53910144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83844000).

53910144 is an abundant number, since it is smaller than the sum of its proper divisors (113777856).

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

53910144 is a wasteful number, since it uses less digits than its factorization.

53910144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 53910144 is about 7342.3527564399. The cubic root of 53910144 is about 377.7665477118.

The spelling of 53910144 in words is "fifty-three million, nine hundred ten thousand, one hundred forty-four".