116691680 has 96 divisors (see below), whose sum is σ = 322527744. Its totient is φ = 39062016.

The previous prime is 116691677. The next prime is 116691683. The reversal of 116691680 is 86196611.

It is an interprime number because it is at equal distance from previous prime (116691677) and next prime (116691683).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116691683) 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 15 ways as a sum of consecutive naturals, for example, 46949 + ... + 49371.

It is an arithmetic number, because the mean of its divisors is an integer number (3359664).

Almost surely, 2^116691680 is an apocalyptic number.

116691680 is a gapful number since it is divisible by the number (10) 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 116691680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161263872).

116691680 is an abundant number, since it is smaller than the sum of its proper divisors (205836064).

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

116691680 is a wasteful number, since it uses less digits than its factorization.

116691680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 116691680 is about 10802.3923276282. The cubic root of 116691680 is about 488.6673213931.

The spelling of 116691680 in words is "one hundred sixteen million, six hundred ninety-one thousand, six hundred eighty".