53956224 has 96 divisors (see below), whose sum is σ = 177471840. Its totient is φ = 15413760.

The previous prime is 53956207. The next prime is 53956261. The reversal of 53956224 is 42265935.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×53956224² = 5822548216676352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4719 + ... + 11409.

It is an arithmetic number, because the mean of its divisors is an integer number (1848665).

Almost surely, 2^53956224 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 53956224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88735920).

53956224 is an abundant number, since it is smaller than the sum of its proper divisors (123515616).

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

53956224 is a wasteful number, since it uses less digits than its factorization.

53956224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718 (or 6703 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 53956224 is about 7345.4900449187. The cubic root of 53956224 is about 377.8741497564.

The spelling of 53956224 in words is "fifty-three million, nine hundred fifty-six thousand, two hundred twenty-four".