114535680 has 144 divisors (see below), whose sum is σ = 418153344. Its totient is φ = 26173440.

The previous prime is 114535643. The next prime is 114535693. The reversal of 114535680 is 86535411.

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, 24750 + ... + 29010.

Almost surely, 2^114535680 is an apocalyptic number.

114535680 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 114535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209076672).

114535680 is an abundant number, since it is smaller than the sum of its proper divisors (303617664).

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

114535680 is an equidigital number, since it uses as much as digits as its factorization.

114535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 114535680 is about 10702.1343665645. The cubic root of 114535680 is about 485.6390484880.

The spelling of 114535680 in words is "one hundred fourteen million, five hundred thirty-five thousand, six hundred eighty".