116969760 has 144 divisors (see below), whose sum is σ = 413070840. Its totient is φ = 30105600.

The previous prime is 116969759. The next prime is 116969767. The reversal of 116969760 is 67969611.

It can be written as a sum of positive squares in 4 ways, for example, as 95179536 + 21790224 = 9756^2 + 4668^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (116969767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40360 + ... + 43160.

Almost surely, 2^116969760 is an apocalyptic number.

116969760 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 116969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206535420).

116969760 is an abundant number, since it is smaller than the sum of its proper divisors (296101080).

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

116969760 is a wasteful number, since it uses less digits than its factorization.

116969760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 116969760 is about 10815.2558915635. The cubic root of 116969760 is about 489.0551834044.

The spelling of 116969760 in words is "one hundred sixteen million, nine hundred sixty-nine thousand, seven hundred sixty".