114208640 has 256 divisors, whose sum is σ = 351630720. Its totient is φ = 34504704.

The previous prime is 114208609. The next prime is 114208651. The reversal of 114208640 is 46802411.

It is a super-2 number, since 2×114208640² = 26087226901299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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, 2154854 + ... + 2154906.

Almost surely, 2^114208640 is an apocalyptic number.

114208640 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 114208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175815360).

114208640 is an abundant number, since it is smaller than the sum of its proper divisors (237422080).

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

114208640 is a wasteful number, since it uses less digits than its factorization.

114208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 114208640 is about 10686.8442488884. The cubic root of 114208640 is about 485.1763839269.

The spelling of 114208640 in words is "one hundred fourteen million, two hundred eight thousand, six hundred forty".