116726416 has 45 divisors (see below), whose sum is σ = 235662651. Its totient is φ = 56007936.

The previous prime is 116726411. The next prime is 116726417. The reversal of 116726416 is 614627611.

The square root of 116726416 is 10804.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29116816 + 87609600 = 5396^2 + 9360^2 .

It is a Duffinian number.

Its product of digits (12096) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (116726411) by changing a digit.

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, 1598956 + ... + 1599028.

Almost surely, 2^116726416 is an apocalyptic number.

116726416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

116726416 is the 10804-th square number.

It is an amenable number.

116726416 is an abundant number, since it is smaller than the sum of its proper divisors (118936235).

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

116726416 is an frugal number, since it uses more digits than its factorization.

116726416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 112 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The cubic root of 116726416 is about 488.7158043243.

The spelling of 116726416 in words is "one hundred sixteen million, seven hundred twenty-six thousand, four hundred sixteen".