114168090 has 64 divisors (see below), whose sum is σ = 302766336. Its totient is φ = 27405312.

The previous prime is 114168059. The next prime is 114168137. The reversal of 114168090 is 90861411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6864 + ... + 16596.

It is an arithmetic number, because the mean of its divisors is an integer number (4730724).

Almost surely, 2^114168090 is an apocalyptic number.

114168090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114168090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151383168).

114168090 is an abundant number, since it is smaller than the sum of its proper divisors (188598246).

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

114168090 is a wasteful number, since it uses less digits than its factorization.

114168090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9783.

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 114168090 is about 10684.9468880290. The cubic root of 114168090 is about 485.1189561898.

The spelling of 114168090 in words is "one hundred fourteen million, one hundred sixty-eight thousand, ninety".