116823168 has 256 divisors, whose sum is σ = 430848000. Its totient is φ = 30274560.

The previous prime is 116823137. The next prime is 116823173. The reversal of 116823168 is 861328611.

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, 265893 + ... + 266331.

It is an arithmetic number, because the mean of its divisors is an integer number (1683000).

Almost surely, 2^116823168 is an apocalyptic number.

116823168 is a gapful number since it is divisible by the number (18) 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 116823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215424000).

116823168 is an abundant number, since it is smaller than the sum of its proper divisors (314024832).

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

116823168 is a wasteful number, since it uses less digits than its factorization.

116823168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 462 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 116823168 is about 10808.4766734263. The cubic root of 116823168 is about 488.8507956851.

It can be divided in two parts, 1168 and 23168, that added together give a square (24336 = 156²).

The spelling of 116823168 in words is "one hundred sixteen million, eight hundred twenty-three thousand, one hundred sixty-eight".