116616384 has 84 divisors (see below), whose sum is σ = 339841840. Its totient is φ = 38223360.

The previous prime is 116616373. The next prime is 116616397. The reversal of 116616384 is 483616611.

116616384 is a `hidden beast` number, since 1 + 1 + 6 + 616 + 38 + 4 = 666.

It is a super-3 number, since 3×116616384³ (a number of 25 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 33477 + ... + 36795.

Almost surely, 2^116616384 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 116616384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169920920).

116616384 is an abundant number, since it is smaller than the sum of its proper divisors (223225456).

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

116616384 is a wasteful number, since it uses less digits than its factorization.

116616384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3385 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 116616384 is about 10798.9066113195. The cubic root of 116616384 is about 488.5621936140.

The spelling of 116616384 in words is "one hundred sixteen million, six hundred sixteen thousand, three hundred eighty-four".