19381680 has 120 divisors (see below), whose sum is σ = 67568592. Its totient is φ = 5163264.

The previous prime is 19381669. The next prime is 19381699. The reversal of 19381680 is 8618391.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 18942 + ... + 19938.

Almost surely, 2^19381680 is an apocalyptic number.

19381680 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 19381680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33784296).

19381680 is an abundant number, since it is smaller than the sum of its proper divisors (48186912).

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

19381680 is an equidigital number, since it uses as much as digits as its factorization.

19381680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 19381680 is about 4402.4629470332. The cubic root of 19381680 is about 268.6151311753.

The spelling of 19381680 in words is "nineteen million, three hundred eighty-one thousand, six hundred eighty".