116688320 has 112 divisors (see below), whose sum is σ = 321064128. Its totient is φ = 39567360.

The previous prime is 116688317. The next prime is 116688353. The reversal of 116688320 is 23886611.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252890 + ... + 253350.

It is an arithmetic number, because the mean of its divisors is an integer number (2866644).

Almost surely, 2^116688320 is an apocalyptic number.

116688320 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 116688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160532064).

116688320 is an abundant number, since it is smaller than the sum of its proper divisors (204375808).

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

116688320 is a wasteful number, since it uses less digits than its factorization.

116688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 116688320 is about 10802.2368054029. The cubic root of 116688320 is about 488.6626311474.

The spelling of 116688320 in words is "one hundred sixteen million, six hundred eighty-eight thousand, three hundred twenty".