19145980 has 48 divisors (see below), whose sum is σ = 46287360. Its totient is φ = 6516288.

The previous prime is 19145969. The next prime is 19146007. The reversal of 19145980 is 8954191.

It is a congruent number.

It is an unprimeable number.

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, 22401 + ... + 23239.

It is an arithmetic number, because the mean of its divisors is an integer number (964320).

Almost surely, 2^19145980 is an apocalyptic number.

19145980 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 19145980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23143680).

19145980 is an abundant number, since it is smaller than the sum of its proper divisors (27141380).

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

19145980 is a wasteful number, since it uses less digits than its factorization.

19145980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 19145980 is about 4375.6119572010. The cubic root of 19145980 is about 267.5218138091.

It can be divided in two parts, 1914 and 5980, that multiplied together give a triangular number (11445720 = T₄₇₈₄).

The spelling of 19145980 in words is "nineteen million, one hundred forty-five thousand, nine hundred eighty".