116616896 has 84 divisors (see below), whose sum is σ = 261600696. Its totient is φ = 51575040.

The previous prime is 116616887. The next prime is 116616959. The reversal of 116616896 is 698616611.

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 Harshad number since it is a multiple of its sum of digits (44).

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, 3151790 + ... + 3151826.

It is an arithmetic number, because the mean of its divisors is an integer number (3114294).

Almost surely, 2^116616896 is an apocalyptic number.

116616896 is a gapful number since it is divisible by the number (16) 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 116616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130800348).

116616896 is an abundant number, since it is smaller than the sum of its proper divisors (144983800).

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

116616896 is an frugal number, since it uses more digits than its factorization.

116616896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 50 counting only the distinct ones).

The product of its digits is 93312, while the sum is 44.

The square root of 116616896 is about 10798.9303173972. The cubic root of 116616896 is about 488.5629086178.

Multiplying 116616896 by its sum of digits (44), we get a square (5131143424 = 71632²).

116616896 divided by its sum of digits (44) gives a square (2650384 = 1628²).

The spelling of 116616896 in words is "one hundred sixteen million, six hundred sixteen thousand, eight hundred ninety-six".