19825890 has 48 divisors (see below), whose sum is σ = 55354752. Its totient is φ = 4531296.

The previous prime is 19825867. The next prime is 19825891. The reversal of 19825890 is 9852891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (19825891) 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 23 ways as a sum of consecutive naturals, for example, 5274 + ... + 8213.

It is an arithmetic number, because the mean of its divisors is an integer number (1153224).

Almost surely, 2^19825890 is an apocalyptic number.

19825890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19825890 is an abundant number, since it is smaller than the sum of its proper divisors (35528862).

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

19825890 is a wasteful number, since it uses less digits than its factorization.

19825890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13511 (or 13504 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 19825890 is about 4452.6273142943. The cubic root of 19825890 is about 270.6517860758.

The spelling of 19825890 in words is "nineteen million, eight hundred twenty-five thousand, eight hundred ninety".