53616416 has 48 divisors (see below), whose sum is σ = 121818816. Its totient is φ = 22753536.

The previous prime is 53616413. The next prime is 53616439. The reversal of 53616416 is 61461635.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (53616413) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22850 + ... + 25086.

It is an arithmetic number, because the mean of its divisors is an integer number (2537892).

Almost surely, 2^53616416 is an apocalyptic number.

53616416 is a gapful number since it is divisible by the number (56) 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 53616416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60909408).

53616416 is an abundant number, since it is smaller than the sum of its proper divisors (68202400).

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

53616416 is a wasteful number, since it uses less digits than its factorization.

53616416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2353 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 53616416 is about 7322.3231286252. The cubic root of 53616416 is about 377.0792141942.

The spelling of 53616416 in words is "fifty-three million, six hundred sixteen thousand, four hundred sixteen".