114313680 has 400 divisors, whose sum is σ = 453720960. Its totient is φ = 26459136.

The previous prime is 114313669. The next prime is 114313721. The reversal of 114313680 is 86313411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1937491 + ... + 1937549.

Almost surely, 2^114313680 is an apocalyptic number.

114313680 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 114313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860480).

114313680 is an abundant number, since it is smaller than the sum of its proper divisors (339407280).

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

114313680 is a wasteful number, since it uses less digits than its factorization.

114313680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

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

The square root of 114313680 is about 10691.7575730092. The cubic root of 114313680 is about 485.3250805330.

The spelling of 114313680 in words is "one hundred fourteen million, three hundred thirteen thousand, six hundred eighty".