114084960 has 384 divisors, whose sum is σ = 438939648. Its totient is φ = 24576000.

The previous prime is 114084953. The next prime is 114084961. The reversal of 114084960 is 69480411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114084961) 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, 2782540 + ... + 2782580.

It is an arithmetic number, because the mean of its divisors is an integer number (1143072).

Almost surely, 2^114084960 is an apocalyptic number.

114084960 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 114084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219469824).

114084960 is an abundant number, since it is smaller than the sum of its proper divisors (324854688).

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

114084960 is a wasteful number, since it uses less digits than its factorization.

114084960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 114084960 is about 10681.0561275559. The cubic root of 114084960 is about 485.0011832614.

The spelling of 114084960 in words is "one hundred fourteen million, eighty-four thousand, nine hundred sixty".