116952000 has 224 divisors, whose sum is σ = 422233344. Its totient is φ = 28288000.

The previous prime is 116951999. The next prime is 116952007. The reversal of 116952000 is 259611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116952007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263779 + ... + 264221.

Almost surely, 2^116952000 is an apocalyptic number.

116952000 is a gapful number since it is divisible by the number (10) 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 116952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211116672).

116952000 is an abundant number, since it is smaller than the sum of its proper divisors (305281344).

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

116952000 is a wasteful number, since it uses less digits than its factorization.

116952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 116952000 is about 10814.4347979911. The cubic root of 116952000 is about 489.0304303979.

It can be divided in two parts, 11695 and 2000, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 116952000 in words is "one hundred sixteen million, nine hundred fifty-two thousand".