199417680 has 480 divisors, whose sum is σ = 870777600. Its totient is φ = 41057280.

The previous prime is 199417651. The next prime is 199417681. The reversal of 199417680 is 86714991.

It is a happy number.

It is a super-2 number, since 2×199417680² = 79534822193164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199417681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1829466 + ... + 1829574.

It is an arithmetic number, because the mean of its divisors is an integer number (1814120).

Almost surely, 2^199417680 is an apocalyptic number.

199417680 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 199417680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435388800).

199417680 is an abundant number, since it is smaller than the sum of its proper divisors (671359920).

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

199417680 is a wasteful number, since it uses less digits than its factorization.

199417680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 199417680 is about 14121.5324947401. The cubic root of 199417680 is about 584.2354245665.

The spelling of 199417680 in words is "one hundred ninety-nine million, four hundred seventeen thousand, six hundred eighty".