116510464 has 72 divisors (see below), whose sum is σ = 269480960. Its totient is φ = 49241088.

The previous prime is 116510441. The next prime is 116510473. The reversal of 116510464 is 464015611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 141157 + ... + 141979.

Almost surely, 2^116510464 is an apocalyptic number.

116510464 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 116510464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134740480).

116510464 is an abundant number, since it is smaller than the sum of its proper divisors (152970496).

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

116510464 is an frugal number, since it uses more digits than its factorization.

116510464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 116510464 is about 10794.0012970168. The cubic root of 116510464 is about 488.4142321784.

Subtracting from 116510464 its sum of digits (28), we obtain a square (116510436 = 10794²).

The spelling of 116510464 in words is "one hundred sixteen million, five hundred ten thousand, four hundred sixty-four".