19820970 has 64 divisors (see below), whose sum is σ = 56931840. Its totient is φ = 4878144.

The previous prime is 19820951. The next prime is 19820989. The reversal of 19820970 is 7902891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19820951) and next prime (19820989).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687 + ... + 6333.

It is an arithmetic number, because the mean of its divisors is an integer number (889560).

Almost surely, 2^19820970 is an apocalyptic number.

19820970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19820970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28465920).

19820970 is an abundant number, since it is smaller than the sum of its proper divisors (37110870).

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

19820970 is a wasteful number, since it uses less digits than its factorization.

19820970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 19820970 is about 4452.0747972153. The cubic root of 19820970 is about 270.6293958754.

The spelling of 19820970 in words is "nineteen million, eight hundred twenty thousand, nine hundred seventy".