19048820 has 48 divisors (see below), whose sum is σ = 46195968. Its totient is φ = 6462720.

The previous prime is 19048817. The next prime is 19048829. The reversal of 19048820 is 2884091.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19048829) by changing a digit.

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, 13760 + ... + 15080.

It is an arithmetic number, because the mean of its divisors is an integer number (962416).

Almost surely, 2^19048820 is an apocalyptic number.

19048820 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 19048820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23097984).

19048820 is an abundant number, since it is smaller than the sum of its proper divisors (27147148).

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

19048820 is a wasteful number, since it uses less digits than its factorization.

19048820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 19048820 is about 4364.4953889310. The cubic root of 19048820 is about 267.0685156638.

The spelling of 19048820 in words is "nineteen million, forty-eight thousand, eight hundred twenty".