116613672 has 64 divisors (see below), whose sum is σ = 337236480. Its totient is φ = 32912832.

The previous prime is 116613649. The next prime is 116613689. The reversal of 116613672 is 276316611.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 9763 + ... + 18125.

It is an arithmetic number, because the mean of its divisors is an integer number (5269320).

Almost surely, 2^116613672 is an apocalyptic number.

116613672 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 116613672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168618240).

116613672 is an abundant number, since it is smaller than the sum of its proper divisors (220622808).

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

116613672 is a wasteful number, since it uses less digits than its factorization.

116613672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462 (or 8458 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 116613672 is about 10798.7810423214. The cubic root of 116613672 is about 488.5584062933.

The spelling of 116613672 in words is "one hundred sixteen million, six hundred thirteen thousand, six hundred seventy-two".