114077040 has 160 divisors (see below), whose sum is σ = 440971776. Its totient is φ = 23700480.

The previous prime is 114077011. The next prime is 114077059. The reversal of 114077040 is 40770411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114077040.

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, 15394 + ... + 21566.

Almost surely, 2^114077040 is an apocalyptic number.

114077040 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 114077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220485888).

114077040 is an abundant number, since it is smaller than the sum of its proper divisors (326894736).

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

114077040 is a wasteful number, since it uses less digits than its factorization.

114077040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6207 (or 6201 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 114077040 is about 10680.6853712671. The cubic root of 114077040 is about 484.9899597596.

It can be divided in two parts, 1 and 14077040, that added together give a palindrome (14077041).

The spelling of 114077040 in words is "one hundred fourteen million, seventy-seven thousand, forty".