116169984 has 216 divisors, whose sum is σ = 400787520. Its totient is φ = 33191424.

The previous prime is 116169979. The next prime is 116170049. The reversal of 116169984 is 489961611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

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

Its product of digits (93312) is a multiple of the sum of its prime divisors (12).

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, 16595709 + ... + 16595715.

Almost surely, 2^116169984 is an apocalyptic number.

116169984 is a gapful number since it is divisible by the number (14) 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 116169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200393760).

116169984 is an abundant number, since it is smaller than the sum of its proper divisors (284617536).

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

116169984 is an frugal number, since it uses more digits than its factorization.

116169984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 12 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 116169984 is about 10778.2180345361. The cubic root of 116169984 is about 487.9380016194.

The spelling of 116169984 in words is "one hundred sixteen million, one hundred sixty-nine thousand, nine hundred eighty-four".