114968040 has 128 divisors (see below), whose sum is σ = 378846720. Its totient is φ = 27680000.

The previous prime is 114968039. The next prime is 114968041. The reversal of 114968040 is 40869411.

It is an interprime number because it is at equal distance from previous prime (114968039) and next prime (114968041).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 114967992 and 114968010.

It is not an unprimeable number, because it can be changed into a prime (114968041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331147 + ... + 331493.

It is an arithmetic number, because the mean of its divisors is an integer number (2959740).

Almost surely, 2^114968040 is an apocalyptic number.

114968040 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 114968040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189423360).

114968040 is an abundant number, since it is smaller than the sum of its proper divisors (263878680).

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

114968040 is a wasteful number, since it uses less digits than its factorization.

114968040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 114968040 is about 10722.3150485331. The cubic root of 114968040 is about 486.2493597487.

The spelling of 114968040 in words is "one hundred fourteen million, nine hundred sixty-eight thousand, forty".