114259680 has 96 divisors (see below), whose sum is σ = 399924000. Its totient is φ = 30468096.

The previous prime is 114259637. The next prime is 114259693. The reversal of 114259680 is 86952411.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 8905 + ... + 17544.

It is an arithmetic number, because the mean of its divisors is an integer number (4165875).

Almost surely, 2^114259680 is an apocalyptic number.

114259680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114259680 is an abundant number, since it is smaller than the sum of its proper divisors (285664320).

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

114259680 is a wasteful number, since it uses less digits than its factorization.

114259680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26473 (or 26459 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 114259680 is about 10689.2319649262. The cubic root of 114259680 is about 485.2486484964.

The spelling of 114259680 in words is "one hundred fourteen million, two hundred fifty-nine thousand, six hundred eighty".