18642834 has 72 divisors (see below), whose sum is σ = 49083840. Its totient is φ = 5089392.

The previous prime is 18642809. The next prime is 18642839. The reversal of 18642834 is 43824681.

18642834 is a `hidden beast` number, since 1 + 8 + 642 + 8 + 3 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18642839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19827 + ... + 20745.

It is an arithmetic number, because the mean of its divisors is an integer number (681720).

Almost surely, 2^18642834 is an apocalyptic number.

18642834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18642834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24541920).

18642834 is an abundant number, since it is smaller than the sum of its proper divisors (30441006).

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

18642834 is a wasteful number, since it uses less digits than its factorization.

18642834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 954 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 18642834 is about 4317.7348227977. The cubic root of 18642834 is about 265.1575377509.

The spelling of 18642834 in words is "eighteen million, six hundred forty-two thousand, eight hundred thirty-four".