114672880 has 80 divisors (see below), whose sum is σ = 306569664. Its totient is φ = 39075840.

The previous prime is 114672839. The next prime is 114672889. The reversal of 114672880 is 88276411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114672889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107550 + ... + 108610.

Almost surely, 2^114672880 is an apocalyptic number.

114672880 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 114672880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153284832).

114672880 is an abundant number, since it is smaller than the sum of its proper divisors (191896784).

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

114672880 is a wasteful number, since it uses less digits than its factorization.

114672880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 114672880 is about 10708.5423844704. The cubic root of 114672880 is about 485.8328835456.

The spelling of 114672880 in words is "one hundred fourteen million, six hundred seventy-two thousand, eight hundred eighty".