116071776 has 72 divisors (see below), whose sum is σ = 335541024. Its totient is φ = 38050560.

The previous prime is 116071771. The next prime is 116071783. The reversal of 116071776 is 677170611.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 116071776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116071771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14265 + ... + 20871.

It is an arithmetic number, because the mean of its divisors is an integer number (4660292).

Almost surely, 2^116071776 is an apocalyptic number.

116071776 is a gapful number since it is divisible by the number (16) 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 116071776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167770512).

116071776 is an abundant number, since it is smaller than the sum of its proper divisors (219469248).

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

116071776 is a wasteful number, since it uses less digits than its factorization.

116071776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6684 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 116071776 is about 10773.6612161326. The cubic root of 116071776 is about 487.8004648726.

The spelling of 116071776 in words is "one hundred sixteen million, seventy-one thousand, seven hundred seventy-six".