116680032 has 144 divisors (see below), whose sum is σ = 391652352. Its totient is φ = 32244480.

The previous prime is 116680019. The next prime is 116680037. The reversal of 116680032 is 230086611.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×116680032² = 27228459735042048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116679978 and 116680005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116680037) 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 23 ways as a sum of consecutive naturals, for example, 61563 + ... + 63429.

It is an arithmetic number, because the mean of its divisors is an integer number (2719808).

Almost surely, 2^116680032 is an apocalyptic number.

116680032 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 116680032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195826176).

116680032 is an abundant number, since it is smaller than the sum of its proper divisors (274972320).

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

116680032 is a wasteful number, since it uses less digits than its factorization.

116680032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 116680032 is about 10801.8531743400. The cubic root of 116680032 is about 488.6510614896.

The spelling of 116680032 in words is "one hundred sixteen million, six hundred eighty thousand, thirty-two".