116824464 has 160 divisors (see below), whose sum is σ = 362278400. Its totient is φ = 35925120.

The previous prime is 116824453. The next prime is 116824471. The reversal of 116824464 is 464428611.

It is a happy number.

116824464 is a `hidden beast` number, since 116 + 82 + 4 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352779 + ... + 353109.

It is an arithmetic number, because the mean of its divisors is an integer number (2264240).

Almost surely, 2^116824464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116824464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181139200).

116824464 is an abundant number, since it is smaller than the sum of its proper divisors (245453936).

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

116824464 is a wasteful number, since it uses less digits than its factorization.

116824464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 116824464 is about 10808.5366262043. The cubic root of 116824464 is about 488.8526033982.

The spelling of 116824464 in words is "one hundred sixteen million, eight hundred twenty-four thousand, four hundred sixty-four".