116812864 has 63 divisors (see below), whose sum is σ = 271049877. Its totient is φ = 49803264.

The previous prime is 116812853. The next prime is 116812873. The reversal of 116812864 is 468218611.

116812864 = T₂₁₅₉ + T₂₁₆₀ + ... + T₂₂₀₇.

The square root of 116812864 is 10808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28302400 + 88510464 = 5320^2 + 9408^2 .

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 8 ways as a sum of consecutive naturals, for example, 605152 + ... + 605344.

It is an arithmetic number, because the mean of its divisors is an integer number (4302379).

Almost surely, 2^116812864 is an apocalyptic number.

116812864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

116812864 is the 10808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116812864

116812864 is an abundant number, since it is smaller than the sum of its proper divisors (154237013).

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

116812864 is an frugal number, since it uses more digits than its factorization.

116812864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 202 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The cubic root of 116812864 is about 488.8364227750.

The spelling of 116812864 in words is "one hundred sixteen million, eight hundred twelve thousand, eight hundred sixty-four".