199628641 has 9 divisors (see below), whose sum is σ = 203502513. Its totient is φ = 195827940.

The previous prime is 199628629. The next prime is 199628657. The reversal of 199628641 is 146826991.

It is a happy number.

The square root of 199628641 is 14129.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 199628641 - 2⁵ = 199628609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 199628591 and 199628600.

It is not an unprimeable number, because it can be changed into a prime (199628941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1003060 + ... + 1003258.

Almost surely, 2^199628641 is an apocalyptic number.

199628641 is the 14129-th square number.

199628641 is the 7065-th centered octagonal number.

It is an amenable number.

199628641 is a deficient number, since it is larger than the sum of its proper divisors (3873872).

199628641 is an frugal number, since it uses more digits than its factorization.

199628641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The cubic root of 199628641 is about 584.4413699523.

Multiplying 199628641 by its product of digits (186624), we get a square (37255495497984 = 6103728²).

The spelling of 199628641 in words is "one hundred ninety-nine million, six hundred twenty-eight thousand, six hundred forty-one".