114842640 has 160 divisors (see below), whose sum is σ = 398224512. Its totient is φ = 27136000.

The previous prime is 114842627. The next prime is 114842683. The reversal of 114842640 is 46248411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114842598 and 114842607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107710 + ... + 108770.

Almost surely, 2^114842640 is an apocalyptic number.

114842640 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 114842640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199112256).

114842640 is an abundant number, since it is smaller than the sum of its proper divisors (283381872).

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

114842640 is a wasteful number, since it uses less digits than its factorization.

114842640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 114842640 is about 10716.4658353396. The cubic root of 114842640 is about 486.0725052286.

The spelling of 114842640 in words is "one hundred fourteen million, eight hundred forty-two thousand, six hundred forty".