116564 has 24 divisors (see below), whose sum is σ = 244608. Its totient is φ = 47520.

The previous prime is 116549. The next prime is 116579. The reversal of 116564 is 465611.

It is an interprime number because it is at equal distance from previous prime (116549) and next prime (116579).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (10192).

2¹¹⁶⁵⁶⁴ is an apocalyptic number.

116564 is a gapful number since it is divisible by the number (14) 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 116564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122304).

116564 is an abundant number, since it is smaller than the sum of its proper divisors (128044).

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

116564 is a wasteful number, since it uses less digits than its factorization.

116564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 116564 is about 341.4147038427. The cubic root of 116564 is about 48.8489028723.

The spelling of 116564 in words is "one hundred sixteen thousand, five hundred sixty-four".