115891776 has 448 divisors, whose sum is σ = 464271360. Its totient is φ = 27371520.

The previous prime is 115891759. The next prime is 115891793. The reversal of 115891776 is 677198511.

It is an interprime number because it is at equal distance from previous prime (115891759) and next prime (115891793).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1729695 + ... + 1729761.

It is an arithmetic number, because the mean of its divisors is an integer number (1036320).

Almost surely, 2^115891776 is an apocalyptic number.

115891776 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 115891776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232135680).

115891776 is an abundant number, since it is smaller than the sum of its proper divisors (348379584).

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

115891776 is a wasteful number, since it uses less digits than its factorization.

115891776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its digits is 105840, while the sum is 45.

The square root of 115891776 is about 10765.3042688073. The cubic root of 115891776 is about 487.5481798536.

The spelling of 115891776 in words is "one hundred fifteen million, eight hundred ninety-one thousand, seven hundred seventy-six".