114827040 has 144 divisors (see below), whose sum is σ = 409002048. Its totient is φ = 29280768.

The previous prime is 114827023. The next prime is 114827077. The reversal of 114827040 is 40728411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 114826995 and 114827013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31387 + ... + 34853.

It is an arithmetic number, because the mean of its divisors is an integer number (2840292).

Almost surely, 2^114827040 is an apocalyptic number.

114827040 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 114827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204501024).

114827040 is an abundant number, since it is smaller than the sum of its proper divisors (294175008).

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

114827040 is a wasteful number, since it uses less digits than its factorization.

114827040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114827040 is about 10715.7379587222. The cubic root of 114827040 is about 486.0504951852.

The spelling of 114827040 in words is "one hundred fourteen million, eight hundred twenty-seven thousand, forty".