17920992 has 96 divisors (see below), whose sum is σ = 50803200. Its totient is φ = 5511168.

The previous prime is 17920909. The next prime is 17920993. The reversal of 17920992 is 29902971.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 17920992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17920993) 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 15 ways as a sum of consecutive naturals, for example, 128859 + ... + 128997.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 2^17920992 is an apocalyptic number.

17920992 is a gapful number since it is divisible by the number (12) 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 17920992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

17920992 is an abundant number, since it is smaller than the sum of its proper divisors (32882208).

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

17920992 is a wasteful number, since it uses less digits than its factorization.

17920992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 17920992 is about 4233.3192650685. The cubic root of 17920992 is about 261.6901334429.

The spelling of 17920992 in words is "seventeen million, nine hundred twenty thousand, nine hundred ninety-two".