114679080 has 96 divisors (see below), whose sum is σ = 375265800. Its totient is φ = 30371328.

The previous prime is 114679049. The next prime is 114679087. The reversal of 114679080 is 80976411.

It can be written as a sum of positive squares in 4 ways, for example, as 109118916 + 5560164 = 10446^2 + 2358^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114679087) 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, 55506 + ... + 57534.

Almost surely, 2^114679080 is an apocalyptic number.

114679080 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 114679080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187632900).

114679080 is an abundant number, since it is smaller than the sum of its proper divisors (260586720).

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

114679080 is a wasteful number, since it uses less digits than its factorization.

114679080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 114679080 is about 10708.8318690696. The cubic root of 114679080 is about 485.8416392037.

The spelling of 114679080 in words is "one hundred fourteen million, six hundred seventy-nine thousand, eighty".