114697440 has 288 divisors, whose sum is σ = 460658016. Its totient is φ = 25620480.

The previous prime is 114697439. The next prime is 114697441. The reversal of 114697440 is 44796411.

It is an interprime number because it is at equal distance from previous prime (114697439) and next prime (114697441).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114697395 and 114697404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114697441) 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, 205642 + ... + 206198.

It is an arithmetic number, because the mean of its divisors is an integer number (1599507).

Almost surely, 2^114697440 is an apocalyptic number.

114697440 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 114697440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230329008).

114697440 is an abundant number, since it is smaller than the sum of its proper divisors (345960576).

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

114697440 is a wasteful number, since it uses less digits than its factorization.

114697440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 114697440 is about 10709.6890711169. The cubic root of 114697440 is about 485.8675653985.

The spelling of 114697440 in words is "one hundred fourteen million, six hundred ninety-seven thousand, four hundred forty".