114866640 has 320 divisors, whose sum is σ = 462827520. Its totient is φ = 25643520.

The previous prime is 114866617. The next prime is 114866641. The reversal of 114866640 is 46668411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114866595 and 114866604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114866641) 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, 1073467 + ... + 1073573.

It is an arithmetic number, because the mean of its divisors is an integer number (1446336).

Almost surely, 2^114866640 is an apocalyptic number.

114866640 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 114866640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231413760).

114866640 is an abundant number, since it is smaller than the sum of its proper divisors (347960880).

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

114866640 is a wasteful number, since it uses less digits than its factorization.

114866640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 114866640 is about 10717.5855489938. The cubic root of 114866640 is about 486.1063629420.

The spelling of 114866640 in words is "one hundred fourteen million, eight hundred sixty-six thousand, six hundred forty".