18634968 has 192 divisors, whose sum is σ = 61286400. Its totient is φ = 5227200.

The previous prime is 18634963. The next prime is 18634981. The reversal of 18634968 is 86943681.

18634968 is a `hidden beast` number, since 1 + 8 + 634 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×18634968² = 694524064722048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18634963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601113 + ... + 601143.

It is an arithmetic number, because the mean of its divisors is an integer number (319200).

Almost surely, 2^18634968 is an apocalyptic number.

18634968 is a gapful number since it is divisible by the number (18) 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 18634968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30643200).

18634968 is an abundant number, since it is smaller than the sum of its proper divisors (42651432).

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

18634968 is a wasteful number, since it uses less digits than its factorization.

18634968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 70 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 18634968 is about 4316.8238324027. The cubic root of 18634968 is about 265.1202397270.

The spelling of 18634968 in words is "eighteen million, six hundred thirty-four thousand, nine hundred sixty-eight".