114505680 has 80 divisors (see below), whose sum is σ = 360316224. Its totient is φ = 30074880.

The previous prime is 114505679. The next prime is 114505697. The reversal of 114505680 is 86505411.

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

It is a super-2 number, since 2×114505680² = 26223101504524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12520 + ... + 19640.

Almost surely, 2^114505680 is an apocalyptic number.

114505680 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 114505680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180158112).

114505680 is an abundant number, since it is smaller than the sum of its proper divisors (245810544).

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

114505680 is a wasteful number, since it uses less digits than its factorization.

114505680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7204 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 114505680 is about 10700.7326851950. The cubic root of 114505680 is about 485.5966441076.

The spelling of 114505680 in words is "one hundred fourteen million, five hundred five thousand, six hundred eighty".