53516736 has 168 divisors, whose sum is σ = 188980064. Its totient is φ = 14100480.

The previous prime is 53516713. The next prime is 53516737. The reversal of 53516736 is 63761535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 53516736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53516737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51906 + ... + 52926.

Almost surely, 2^53516736 is an apocalyptic number.

53516736 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 53516736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94490032).

53516736 is an abundant number, since it is smaller than the sum of its proper divisors (135463328).

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

53516736 is a wasteful number, since it uses less digits than its factorization.

53516736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1046 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 53516736 is about 7315.5133791143. The cubic root of 53516736 is about 376.8453892068.

It can be divided in two parts, 535 and 16736, that added together give a palindrome (17271).

The spelling of 53516736 in words is "fifty-three million, five hundred sixteen thousand, seven hundred thirty-six".