114606240 has 192 divisors, whose sum is σ = 430811136. Its totient is φ = 25039872.

The previous prime is 114606203. The next prime is 114606253. The reversal of 114606240 is 42606411.

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 114606240.

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, 76539 + ... + 78021.

It is an arithmetic number, because the mean of its divisors is an integer number (2243808).

Almost surely, 2^114606240 is an apocalyptic number.

114606240 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 114606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215405568).

114606240 is an abundant number, since it is smaller than the sum of its proper divisors (316204896).

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

114606240 is a wasteful number, since it uses less digits than its factorization.

114606240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 114606240 is about 10705.4303977000. The cubic root of 114606240 is about 485.7387544108.

The spelling of 114606240 in words is "one hundred fourteen million, six hundred six thousand, two hundred forty".