116769312 has 288 divisors, whose sum is σ = 396264960. Its totient is φ = 32256000.

The previous prime is 116769259. The next prime is 116769337. The reversal of 116769312 is 213967611.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×116769312³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2848012 + ... + 2848052.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^116769312 is an apocalyptic number.

116769312 is a gapful number since it is divisible by the number (12) 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 116769312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

116769312 is an abundant number, since it is smaller than the sum of its proper divisors (279495648).

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

116769312 is a wasteful number, since it uses less digits than its factorization.

116769312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 116769312 is about 10805.9850083183. The cubic root of 116769312 is about 488.7756633415.

The spelling of 116769312 in words is "one hundred sixteen million, seven hundred sixty-nine thousand, three hundred twelve".