199687680 has 280 divisors, whose sum is σ = 724554072. Its totient is φ = 52752384.

The previous prime is 199687669. The next prime is 199687681. The reversal of 199687680 is 86786991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199687681) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1866187 + ... + 1866293.

Almost surely, 2^199687680 is an apocalyptic number.

199687680 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 199687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362277036).

199687680 is an abundant number, since it is smaller than the sum of its proper divisors (524866392).

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

199687680 is an frugal number, since it uses more digits than its factorization.

199687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 199687680 is about 14131.0891299999. The cubic root of 199687680 is about 584.4989793095.

It can be divided in two parts, 1996 and 87680, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 199687680 in words is "one hundred ninety-nine million, six hundred eighty-seven thousand, six hundred eighty".