114194080 has 384 divisors, whose sum is σ = 390168576. Its totient is φ = 30412800.

The previous prime is 114194053. The next prime is 114194089. The reversal of 114194080 is 80491411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114194089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3683665 + ... + 3683695.

It is an arithmetic number, because the mean of its divisors is an integer number (1016064).

Almost surely, 2^114194080 is an apocalyptic number.

114194080 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 114194080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195084288).

114194080 is an abundant number, since it is smaller than the sum of its proper divisors (275974496).

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

114194080 is a wasteful number, since it uses less digits than its factorization.

114194080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 114194080 is about 10686.1630157882. The cubic root of 114194080 is about 485.1557653223.

The spelling of 114194080 in words is "one hundred fourteen million, one hundred ninety-four thousand, eighty".