53915616 has 144 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 16637184.

The previous prime is 53915591. The next prime is 53915629. The reversal of 53915616 is 61651935.

53915616 is a `hidden beast` number, since 5 + 3 + 91 + 561 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×53915616³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322765 + ... + 322931.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^53915616 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 53915616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

53915616 is an abundant number, since it is smaller than the sum of its proper divisors (111194784).

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

53915616 is a wasteful number, since it uses less digits than its factorization.

53915616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 53915616 is about 7342.7253795849. The cubic root of 53915616 is about 377.7793286621.

The spelling of 53915616 in words is "fifty-three million, nine hundred fifteen thousand, six hundred sixteen".