114882240 has 336 divisors, whose sum is σ = 428085504. Its totient is φ = 26019840.

The previous prime is 114882233. The next prime is 114882247. The reversal of 114882240 is 42288411.

It is an interprime number because it is at equal distance from previous prime (114882233) and next prime (114882247).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114882198 and 114882207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114882247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2671659 + ... + 2671701.

It is an arithmetic number, because the mean of its divisors is an integer number (1274064).

Almost surely, 2^114882240 is an apocalyptic number.

114882240 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 114882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214042752).

114882240 is an abundant number, since it is smaller than the sum of its proper divisors (313203264).

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

114882240 is a wasteful number, since it uses less digits than its factorization.

114882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 114882240 is about 10718.3133001420. The cubic root of 114882240 is about 486.1283679268.

The spelling of 114882240 in words is "one hundred fourteen million, eight hundred eighty-two thousand, two hundred forty".