19138080 has 96 divisors (see below), whose sum is σ = 64943424. Its totient is φ = 4709376.

The previous prime is 19138069. The next prime is 19138087. The reversal of 19138080 is 8083191.

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

It is a super-2 number, since 2×19138080² = 732532212172800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (19138087) 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, 4707 + ... + 7773.

It is an arithmetic number, because the mean of its divisors is an integer number (676494).

Almost surely, 2^19138080 is an apocalyptic number.

19138080 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 19138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32471712).

19138080 is an abundant number, since it is smaller than the sum of its proper divisors (45805344).

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

19138080 is a wasteful number, since it uses less digits than its factorization.

19138080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 19138080 is about 4374.7091331882. The cubic root of 19138080 is about 267.4850138633.

The spelling of 19138080 in words is "nineteen million, one hundred thirty-eight thousand, eighty".