198971610 has 64 divisors (see below), whose sum is σ = 520041600. Its totient is φ = 48529152.

The previous prime is 198971603. The next prime is 198971611. The reversal of 198971610 is 16179891.

198971610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (198971611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10512 + ... + 22548.

It is an arithmetic number, because the mean of its divisors is an integer number (8125650).

Almost surely, 2^198971610 is an apocalyptic number.

198971610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198971610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260020800).

198971610 is an abundant number, since it is smaller than the sum of its proper divisors (321069990).

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

198971610 is a wasteful number, since it uses less digits than its factorization.

198971610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12095.

The product of its (nonzero) digits is 27216, while the sum is 42.

The square root of 198971610 is about 14105.7296869038. The cubic root of 198971610 is about 583.7994811839.

The spelling of 198971610 in words is "one hundred ninety-eight million, nine hundred seventy-one thousand, six hundred ten".