114348640 has 144 divisors (see below), whose sum is σ = 324420768. Its totient is φ = 37306368.

The previous prime is 114348623. The next prime is 114348649. The reversal of 114348640 is 46843411.

It is a super-2 number, since 2×114348640² = 26151222939699200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114348649) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 592384 + ... + 592576.

It is an arithmetic number, because the mean of its divisors is an integer number (2252922).

Almost surely, 2^114348640 is an apocalyptic number.

114348640 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 114348640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162210384).

114348640 is an abundant number, since it is smaller than the sum of its proper divisors (210072128).

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

114348640 is a wasteful number, since it uses less digits than its factorization.

114348640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 114348640 is about 10693.3923522893. The cubic root of 114348640 is about 485.3745503645.

The spelling of 114348640 in words is "one hundred fourteen million, three hundred forty-eight thousand, six hundred forty".