17965980 has 72 divisors (see below), whose sum is σ = 54940704. Its totient is φ = 4752000.

The previous prime is 17965949. The next prime is 17965999. The reversal of 17965980 is 8956971.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26850 + ... + 27510.

Almost surely, 2^17965980 is an apocalyptic number.

17965980 is a gapful number since it is divisible by the number (10) 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 17965980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27470352).

17965980 is an abundant number, since it is smaller than the sum of its proper divisors (36974724).

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

17965980 is a wasteful number, since it uses less digits than its factorization.

17965980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 17965980 is about 4238.6294954855. The cubic root of 17965980 is about 261.9089285865.

Subtracting from 17965980 its reverse (8956971), we obtain a palindrome (9009009).

It can be divided in two parts, 1796 and 5980, that added together give a 5-th power (7776 = 6⁵).

The spelling of 17965980 in words is "seventeen million, nine hundred sixty-five thousand, nine hundred eighty".