19082640 has 80 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 4866048.

The previous prime is 19082633. The next prime is 19082641. The reversal of 19082640 is 4628091.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 19082598 and 19082607.

It is not an unprimeable number, because it can be changed into a prime (19082641) 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, 3792 + ... + 7248.

Almost surely, 2^19082640 is an apocalyptic number.

19082640 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 19082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

19082640 is an abundant number, since it is smaller than the sum of its proper divisors (42663408).

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

19082640 is a wasteful number, since it uses less digits than its factorization.

19082640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 19082640 is about 4368.3681163565. The cubic root of 19082640 is about 267.2264767529.

The spelling of 19082640 in words is "nineteen million, eighty-two thousand, six hundred forty".