114744080 has 80 divisors (see below), whose sum is σ = 294141888. Its totient is φ = 41280000.

The previous prime is 114744031. The next prime is 114744089. The reversal of 114744080 is 80447411.

114744080 = T₃ + T₄ + ... + T₈₈₂.

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

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (114744089) 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, 88235 + ... + 89525.

Almost surely, 2^114744080 is an apocalyptic number.

114744080 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 114744080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147070944).

114744080 is an abundant number, since it is smaller than the sum of its proper divisors (179397808).

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

114744080 is a wasteful number, since it uses less digits than its factorization.

114744080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 114744080 is about 10711.8663173137. The cubic root of 114744080 is about 485.9334134022.

The spelling of 114744080 in words is "one hundred fourteen million, seven hundred forty-four thousand, eighty".