116431506 has 72 divisors (see below), whose sum is σ = 276335280. Its totient is φ = 36689112.

The previous prime is 116431477. The next prime is 116431529. The reversal of 116431506 is 605134611.

116431506 is a `hidden beast` number, since 1 + 1 + 643 + 15 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 116431506.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 249085 + ... + 249551.

It is an arithmetic number, because the mean of its divisors is an integer number (3837990).

Almost surely, 2^116431506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116431506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138167640).

116431506 is an abundant number, since it is smaller than the sum of its proper divisors (159903774).

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

116431506 is an frugal number, since it uses more digits than its factorization.

116431506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 116431506 is about 10790.3431826796. The cubic root of 116431506 is about 488.3038760655.

The spelling of 116431506 in words is "one hundred sixteen million, four hundred thirty-one thousand, five hundred six".