19680900 has 108 divisors (see below), whose sum is σ = 60756528. Its totient is φ = 4917760.

The previous prime is 19680889. The next prime is 19680907. The reversal of 19680900 is 908691.

19680900 = T₂₁₅ + T₂₁₆ + ... + T₅₀₃.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (19680907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86587 + ... + 86813.

Almost surely, 2^19680900 is an apocalyptic number.

19680900 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 19680900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30378264).

19680900 is an abundant number, since it is smaller than the sum of its proper divisors (41075628).

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

19680900 is a wasteful number, since it uses less digits than its factorization.

19680900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 254 counting only the distinct ones).

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

The square root of 19680900 is about 4436.3160392380. The cubic root of 19680900 is about 269.9903974637.

The spelling of 19680900 in words is "nineteen million, six hundred eighty thousand, nine hundred".