114614000 has 80 divisors (see below), whose sum is σ = 293525856. Its totient is φ = 43136000.

The previous prime is 114613973. The next prime is 114614029. The reversal of 114614000 is 416411.

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 (17).

It is a self number, because there is not a number n which added to its sum of digits gives 114614000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32315 + ... + 35685.

Almost surely, 2^114614000 is an apocalyptic number.

114614000 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 114614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146762928).

114614000 is an abundant number, since it is smaller than the sum of its proper divisors (178911856).

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

114614000 is a wasteful number, since it uses less digits than its factorization.

114614000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 114614000 is about 10705.7928244479. The cubic root of 114614000 is about 485.7497173033.

The spelling of 114614000 in words is "one hundred fourteen million, six hundred fourteen thousand".