116736 has 48 divisors (see below), whose sum is σ = 327600. Its totient is φ = 36864.

The previous prime is 116731. The next prime is 116741. The reversal of 116736 is 637611.

It is an interprime number because it is at equal distance from previous prime (116731) and next prime (116741).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (116731) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6135 + ... + 6153.

It is an arithmetic number, because the mean of its divisors is an integer number (6825).

2¹¹⁶⁷³⁶ is an apocalyptic number.

116736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

116736 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163800).

116736 is an abundant number, since it is smaller than the sum of its proper divisors (210864).

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

116736 is an equidigital number, since it uses as much as digits as its factorization.

116736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 24 counting only the distinct ones).

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

The square root of 116736 is about 341.6665040650. Note that the first 3 decimals coincide. The cubic root of 116736 is about 48.8729179543.

The spelling of 116736 in words is "one hundred sixteen thousand, seven hundred thirty-six".