114074160 has 80 divisors (see below), whose sum is σ = 354783840. Its totient is φ = 30320640.

The previous prime is 114074153. The next prime is 114074161. The reversal of 114074160 is 61470411.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114074160.

It is not an unprimeable number, because it can be changed into a prime (114074161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100476 + ... + 101604.

It is an arithmetic number, because the mean of its divisors is an integer number (4434798).

Almost surely, 2^114074160 is an apocalyptic number.

114074160 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 114074160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177391920).

114074160 is an abundant number, since it is smaller than the sum of its proper divisors (240709680).

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

114074160 is a wasteful number, since it uses less digits than its factorization.

114074160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 114074160 is about 10680.5505476076. The cubic root of 114074160 is about 484.9858783574.

The spelling of 114074160 in words is "one hundred fourteen million, seventy-four thousand, one hundred sixty".