116289264 has 160 divisors (see below), whose sum is σ = 375531520. Its totient is φ = 30191616.

The previous prime is 116289223. The next prime is 116289307. The reversal of 116289264 is 462982611.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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, 344904 + ... + 345240.

It is an arithmetic number, because the mean of its divisors is an integer number (2347072).

Almost surely, 2^116289264 is an apocalyptic number.

116289264 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 116289264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187765760).

116289264 is an abundant number, since it is smaller than the sum of its proper divisors (259242256).

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

116289264 is a wasteful number, since it uses less digits than its factorization.

116289264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 116289264 is about 10783.7499971021. The cubic root of 116289264 is about 488.1049447326.

The spelling of 116289264 in words is "one hundred sixteen million, two hundred eighty-nine thousand, two hundred sixty-four".