114915840 has 160 divisors (see below), whose sum is σ = 395974656. Its totient is φ = 28262400.

The previous prime is 114915817. The next prime is 114915841. The reversal of 114915840 is 48519411.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (114915841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99265 + ... + 100415.

Almost surely, 2^114915840 is an apocalyptic number.

114915840 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 114915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197987328).

114915840 is an abundant number, since it is smaller than the sum of its proper divisors (281058816).

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

114915840 is a wasteful number, since it uses less digits than its factorization.

114915840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 114915840 is about 10719.8805963499. The cubic root of 114915840 is about 486.1757565136.

The spelling of 114915840 in words is "one hundred fourteen million, nine hundred fifteen thousand, eight hundred forty".