116736000 has 240 divisors, whose sum is σ = 408932160. Its totient is φ = 29491200.

The previous prime is 116735951. The next prime is 116736001. The reversal of 116736000 is 637611.

It is a tau number, because it is divible by the number of its divisors (240).

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 (116736001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6143991 + ... + 6144009.

It is an arithmetic number, because the mean of its divisors is an integer number (1703884).

Almost surely, 2^116736000 is an apocalyptic number.

116736000 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 116736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204466080).

116736000 is an abundant number, since it is smaller than the sum of its proper divisors (292196160).

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

116736000 is an frugal number, since it uses more digits than its factorization.

116736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 116736000 is about 10804.4435303258. The cubic root of 116736000 is about 488.7291795432.

The spelling of 116736000 in words is "one hundred sixteen million, seven hundred thirty-six thousand".