116364006 has 64 divisors (see below), whose sum is σ = 284601600. Its totient is φ = 35240040.

The previous prime is 116363993. The next prime is 116364007. The reversal of 116364006 is 600463611.

116364006 is a `hidden beast` number, since 1 + 16 + 3 + 640 + 0 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116364007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71065 + ... + 72683.

It is an arithmetic number, because the mean of its divisors is an integer number (4446900).

Almost surely, 2^116364006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116364006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142300800).

116364006 is an abundant number, since it is smaller than the sum of its proper divisors (168237594).

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

116364006 is a wasteful number, since it uses less digits than its factorization.

116364006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 116364006 is about 10787.2149325023. The cubic root of 116364006 is about 488.2094947297.

The spelling of 116364006 in words is "one hundred sixteen million, three hundred sixty-four thousand, six".