53837824 has 64 divisors (see below), whose sum is σ = 113244480. Its totient is φ = 25559040.

The previous prime is 53837821. The next prime is 53837831. The reversal of 53837824 is 42873835.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×53837824² = 5797022586109952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53837821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1015782 + ... + 1015834.

It is an arithmetic number, because the mean of its divisors is an integer number (1769445).

Almost surely, 2^53837824 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 53837824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56622240).

53837824 is an abundant number, since it is smaller than the sum of its proper divisors (59406656).

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

53837824 is an frugal number, since it uses more digits than its factorization.

53837824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 53837824 is about 7337.4262517589. The cubic root of 53837824 is about 377.5975485812.

The spelling of 53837824 in words is "fifty-three million, eight hundred thirty-seven thousand, eight hundred twenty-four".