115667442 has 48 divisors (see below), whose sum is σ = 274697280. Its totient is φ = 34884000.

The previous prime is 115667441. The next prime is 115667467. The reversal of 115667442 is 244766511.

115667442 is a `hidden beast` number, since 1 + 156 + 67 + 442 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 115667397 and 115667406.

It is not an unprimeable number, because it can be changed into a prime (115667441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44067 + ... + 46617.

It is an arithmetic number, because the mean of its divisors is an integer number (5722860).

Almost surely, 2^115667442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115667442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137348640).

115667442 is an abundant number, since it is smaller than the sum of its proper divisors (159029838).

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

115667442 is a wasteful number, since it uses less digits than its factorization.

115667442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2796 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 115667442 is about 10754.8799156476. The cubic root of 115667442 is about 487.2333911045.

The spelling of 115667442 in words is "one hundred fifteen million, six hundred sixty-seven thousand, four hundred forty-two".