116219664 has 160 divisors (see below), whose sum is σ = 374321280. Its totient is φ = 34214400.

The previous prime is 116219657. The next prime is 116219681. The reversal of 116219664 is 466912611.

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 31 ways as a sum of consecutive naturals, for example, 175494 + ... + 176154.

It is an arithmetic number, because the mean of its divisors is an integer number (2339508).

Almost surely, 2^116219664 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 116219664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187160640).

116219664 is an abundant number, since it is smaller than the sum of its proper divisors (258101616).

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

116219664 is a wasteful number, since it uses less digits than its factorization.

116219664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 714 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 116219664 is about 10780.5224363201. The cubic root of 116219664 is about 488.0075471376.

The spelling of 116219664 in words is "one hundred sixteen million, two hundred nineteen thousand, six hundred sixty-four".