116585634 has 64 divisors (see below), whose sum is σ = 269568000. Its totient is φ = 33243840.

The previous prime is 116585633. The next prime is 116585641. The reversal of 116585634 is 436585611.

It is a junction number, because it is equal to n+sod(n) for n = 116585592 and 116585601.

It is not an unprimeable number, because it can be changed into a prime (116585633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299512 + ... + 299900.

It is an arithmetic number, because the mean of its divisors is an integer number (4212000).

Almost surely, 2^116585634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116585634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

116585634 is an abundant number, since it is smaller than the sum of its proper divisors (152982366).

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

116585634 is a wasteful number, since it uses less digits than its factorization.

116585634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663.

The product of its digits is 86400, while the sum is 39.

The square root of 116585634 is about 10797.4827621997. The cubic root of 116585634 is about 488.5192476528.

The spelling of 116585634 in words is "one hundred sixteen million, five hundred eighty-five thousand, six hundred thirty-four".