114693840 has 160 divisors (see below), whose sum is σ = 408902400. Its totient is φ = 29514240.

The previous prime is 114693829. The next prime is 114693871. The reversal of 114693840 is 48396411.

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 = 114693795 and 114693804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61725 + ... + 63555.

It is an arithmetic number, because the mean of its divisors is an integer number (2555640).

Almost surely, 2^114693840 is an apocalyptic number.

114693840 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 114693840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204451200).

114693840 is an abundant number, since it is smaller than the sum of its proper divisors (294208560).

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

114693840 is a wasteful number, since it uses less digits than its factorization.

114693840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 114693840 is about 10709.5209976917. The cubic root of 114693840 is about 485.8624820489.

The spelling of 114693840 in words is "one hundred fourteen million, six hundred ninety-three thousand, eight hundred forty".