19690800 has 120 divisors (see below), whose sum is σ = 64348560. Its totient is φ = 5145600.

The previous prime is 19690793. The next prime is 19690807. The reversal of 19690800 is 809691.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19690793) and next prime (19690807).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (19690807) 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, 73066 + ... + 73334.

It is an arithmetic number, because the mean of its divisors is an integer number (536238).

Almost surely, 2^19690800 is an apocalyptic number.

19690800 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 19690800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32174280).

19690800 is an abundant number, since it is smaller than the sum of its proper divisors (44657760).

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

19690800 is a wasteful number, since it uses less digits than its factorization.

19690800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 19690800 is about 4437.4316896151. The cubic root of 19690800 is about 270.0356605848.

The spelling of 19690800 in words is "nineteen million, six hundred ninety thousand, eight hundred".