114609040 has 180 divisors, whose sum is σ = 337588884. Its totient is φ = 36062208.

The previous prime is 114609037. The next prime is 114609041. The reversal of 114609040 is 40906411.

It can be written as a sum of positive squares in 6 ways, for example, as 5531904 + 109077136 = 2352^2 + 10444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114608996 and 114609014.

It is not an unprimeable number, because it can be changed into a prime (114609041) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 662394 + ... + 662566.

Almost surely, 2^114609040 is an apocalyptic number.

114609040 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 114609040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168794442).

114609040 is an abundant number, since it is smaller than the sum of its proper divisors (222979844).

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

114609040 is a wasteful number, since it uses less digits than its factorization.

114609040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 114609040 is about 10705.5611716528. The cubic root of 114609040 is about 485.7427101507.

The spelling of 114609040 in words is "one hundred fourteen million, six hundred nine thousand, forty".