116823672 has 96 divisors (see below), whose sum is σ = 363773280. Its totient is φ = 33177600.

The previous prime is 116823667. The next prime is 116823673. The reversal of 116823672 is 276328611.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116823673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96672 + ... + 97872.

It is an arithmetic number, because the mean of its divisors is an integer number (3789305).

Almost surely, 2^116823672 is an apocalyptic number.

116823672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 10808×10809.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116823672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181886640).

116823672 is an abundant number, since it is smaller than the sum of its proper divisors (246949608).

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

116823672 is a wasteful number, since it uses less digits than its factorization.

116823672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1406 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 116823672 is about 10808.4999884350. The cubic root of 116823672 is about 488.8514986862.

The spelling of 116823672 in words is "one hundred sixteen million, eight hundred twenty-three thousand, six hundred seventy-two".