19982700 has 90 divisors (see below), whose sum is σ = 64802276. Its totient is φ = 5326560.

The previous prime is 19982687. The next prime is 19982707. The reversal of 19982700 is 728991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19982707) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6867 + ... + 9333.

Almost surely, 2^19982700 is an apocalyptic number.

19982700 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 19982700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32401138).

19982700 is an abundant number, since it is smaller than the sum of its proper divisors (44819576).

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

19982700 is a wasteful number, since it uses less digits than its factorization.

19982700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2477 counting only the distinct ones).

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

The square root of 19982700 is about 4470.2013377476. The cubic root of 19982700 is about 271.3634733741.

The spelling of 19982700 in words is "nineteen million, nine hundred eighty-two thousand, seven hundred".