114284976 has 80 divisors (see below), whose sum is σ = 331812096. Its totient is φ = 33631488.

The previous prime is 114284959. The next prime is 114284983. The reversal of 114284976 is 679482411.

It is a super-2 number, since 2×114284976² = 26122111478641152, which contains 22 as substring.

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, 10371 + ... + 18333.

Almost surely, 2^114284976 is an apocalyptic number.

114284976 is a gapful number since it is divisible by the number (16) 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 114284976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165906048).

114284976 is an abundant number, since it is smaller than the sum of its proper divisors (217527120).

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

114284976 is a wasteful number, since it uses less digits than its factorization.

114284976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8010 (or 8004 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 114284976 is about 10690.4151462888. The cubic root of 114284976 is about 485.2844556568.

The spelling of 114284976 in words is "one hundred fourteen million, two hundred eighty-four thousand, nine hundred seventy-six".