53586016 has 96 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 22963200.

The previous prime is 53585963. The next prime is 53586019. The reversal of 53586016 is 61068535.

It is a super-2 number, since 2×53586016² = 5742922221504512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53586019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678265 + ... + 678343.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^53586016 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 53586016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

53586016 is an abundant number, since it is smaller than the sum of its proper divisors (68341664).

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

53586016 is a wasteful number, since it uses less digits than its factorization.

53586016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 53586016 is about 7320.2469903686. The cubic root of 53586016 is about 377.0079339398.

The spelling of 53586016 in words is "fifty-three million, five hundred eighty-six thousand, sixteen".