53123904 has 112 divisors (see below), whose sum is σ = 158739840. Its totient is φ = 17418240.

The previous prime is 53123887. The next prime is 53123921. The reversal of 53123904 is 40932135.

It is an interprime number because it is at equal distance from previous prime (53123887) and next prime (53123921).

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

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 15 ways as a sum of consecutive naturals, for example, 122472 + ... + 122904.

It is an arithmetic number, because the mean of its divisors is an integer number (1417320).

Almost surely, 2^53123904 is an apocalyptic number.

53123904 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 53123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

53123904 is an abundant number, since it is smaller than the sum of its proper divisors (105615936).

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

53123904 is a wasteful number, since it uses less digits than its factorization.

53123904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 53123904 is about 7288.6146831891. The cubic root of 53123904 is about 375.9210638581.

It can be divided in two parts, 5312 and 3904, that added together give a square (9216 = 96²).

The spelling of 53123904 in words is "fifty-three million, one hundred twenty-three thousand, nine hundred four".