19879800 has 96 divisors (see below), whose sum is σ = 65286000. Its totient is φ = 4986880.

The previous prime is 19879799. The next prime is 19879801. The reversal of 19879800 is 897891.

It is an interprime number because it is at equal distance from previous prime (19879799) and next prime (19879801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19879801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9226 + ... + 11174.

Almost surely, 2^19879800 is an apocalyptic number.

19879800 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 19879800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32643000).

19879800 is an abundant number, since it is smaller than the sum of its proper divisors (45406200).

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

19879800 is a wasteful number, since it uses less digits than its factorization.

19879800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 19879800 is about 4458.6769338000. The cubic root of 19879800 is about 270.8968802890.

The spelling of 19879800 in words is "nineteen million, eight hundred seventy-nine thousand, eight hundred".