199181864 has 96 divisors (see below), whose sum is σ = 467856000. Its totient is φ = 79011072.

The previous prime is 199181849. The next prime is 199181869. The reversal of 199181864 is 468181991.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (199181869) 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, 349772 + ... + 350340.

It is an arithmetic number, because the mean of its divisors is an integer number (4873500).

Almost surely, 2^199181864 is an apocalyptic number.

199181864 is a gapful number since it is divisible by the number (14) 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 199181864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233928000).

199181864 is an abundant number, since it is smaller than the sum of its proper divisors (268674136).

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

199181864 is a wasteful number, since it uses less digits than its factorization.

199181864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 644 counting only the distinct ones).

The product of its digits is 124416, while the sum is 47.

The square root of 199181864 is about 14113.1805061793. The cubic root of 199181864 is about 584.0050431165.

The spelling of 199181864 in words is "one hundred ninety-nine million, one hundred eighty-one thousand, eight hundred sixty-four".