17800968 has 64 divisors (see below), whose sum is σ = 46632960. Its totient is φ = 5656896.

The previous prime is 17800963. The next prime is 17800973. The reversal of 17800968 is 86900871.

It is an interprime number because it is at equal distance from previous prime (17800963) and next prime (17800973).

It is a hoax number, since the sum of its digits (39) 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 (17800963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48321 + ... + 48687.

It is an arithmetic number, because the mean of its divisors is an integer number (728640).

Almost surely, 2^17800968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17800968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23316480).

17800968 is an abundant number, since it is smaller than the sum of its proper divisors (28831992).

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

17800968 is a wasteful number, since it uses less digits than its factorization.

17800968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 17800968 is about 4219.1193393883. The cubic root of 17800968 is about 261.1046100824.

The spelling of 17800968 in words is "seventeen million, eight hundred thousand, nine hundred sixty-eight".