114403680 has 144 divisors (see below), whose sum is σ = 398034000. Its totient is φ = 29912064.

The previous prime is 114403673. The next prime is 114403703. The reversal of 114403680 is 86304411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75571 + ... + 77069.

It is an arithmetic number, because the mean of its divisors is an integer number (2764125).

Almost surely, 2^114403680 is an apocalyptic number.

114403680 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 114403680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199017000).

114403680 is an abundant number, since it is smaller than the sum of its proper divisors (283630320).

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

114403680 is a wasteful number, since it uses less digits than its factorization.

114403680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114403680 is about 10695.9655945595. The cubic root of 114403680 is about 485.4524137890.

The spelling of 114403680 in words is "one hundred fourteen million, four hundred three thousand, six hundred eighty".