198271752 has 128 divisors (see below), whose sum is σ = 588349440. Its totient is φ = 54501120.

The previous prime is 198271747. The next prime is 198271757. The reversal of 198271752 is 257172891.

It is an interprime number because it is at equal distance from previous prime (198271747) and next prime (198271757).

It is a super-2 number, since 2×198271752² = 78623375282299008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (198271757) 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, 1037977 + ... + 1038167.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 2^198271752 is an apocalyptic number.

198271752 is a gapful number since it is divisible by the number (12) 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 198271752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294174720).

198271752 is an abundant number, since it is smaller than the sum of its proper divisors (390077688).

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

198271752 is a wasteful number, since it uses less digits than its factorization.

198271752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its digits is 70560, while the sum is 42.

The square root of 198271752 is about 14080.9002553104. The cubic root of 198271752 is about 583.1141962917.

The spelling of 198271752 in words is "one hundred ninety-eight million, two hundred seventy-one thousand, seven hundred fifty-two".