53123584 has 40 divisors (see below), whose sum is σ = 109600128. Its totient is φ = 25697280.

The previous prime is 53123561. The next prime is 53123593. The reversal of 53123584 is 48532135.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14199 + ... + 17545.

Almost surely, 2^53123584 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 53123584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54800064).

53123584 is an abundant number, since it is smaller than the sum of its proper divisors (56476544).

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

53123584 is an equidigital number, since it uses as much as digits as its factorization.

53123584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3380 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 53123584 is about 7288.5927311107. The cubic root of 53123584 is about 375.9203090505.

The spelling of 53123584 in words is "fifty-three million, one hundred twenty-three thousand, five hundred eighty-four".