19964900 has 36 divisors (see below), whose sum is σ = 44340912. Its totient is φ = 7798560.

The previous prime is 19964887. The next prime is 19964921. The reversal of 19964900 is 946991.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1979 + ... + 6621.

It is an arithmetic number, because the mean of its divisors is an integer number (1231692).

Almost surely, 2^19964900 is an apocalyptic number.

19964900 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 19964900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22170456).

19964900 is an abundant number, since it is smaller than the sum of its proper divisors (24376012).

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

19964900 is a wasteful number, since it uses less digits than its factorization.

19964900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 19964900 is about 4468.2099324002. The cubic root of 19964900 is about 271.2828752441.

The spelling of 19964900 in words is "nineteen million, nine hundred sixty-four thousand, nine hundred".