19382000 has 80 divisors (see below), whose sum is σ = 51184224. Its totient is φ = 7040000.

The previous prime is 19381997. The next prime is 19382017. The reversal of 19382000 is 28391.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21560 + ... + 22440.

Almost surely, 2^19382000 is an apocalyptic number.

19382000 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 19382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112).

19382000 is an abundant number, since it is smaller than the sum of its proper divisors (31802224).

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

19382000 is a wasteful number, since it uses less digits than its factorization.

19382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 19382000 is about 4402.4992901760. The cubic root of 19382000 is about 268.6166094849.

The spelling of 19382000 in words is "nineteen million, three hundred eighty-two thousand".