198167640 has 128 divisors (see below), whose sum is σ = 686776320. Its totient is φ = 45209600.

The previous prime is 198167591. The next prime is 198167659. The reversal of 198167640 is 46761891.

It is a junction number, because it is equal to n+sod(n) for n = 198167592 and 198167601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18025 + ... + 26855.

It is an arithmetic number, because the mean of its divisors is an integer number (5365440).

Almost surely, 2^198167640 is an apocalyptic number.

198167640 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 198167640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343388160).

198167640 is an abundant number, since it is smaller than the sum of its proper divisors (488608680).

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

198167640 is a wasteful number, since it uses less digits than its factorization.

198167640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8873 (or 8869 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 198167640 is about 14077.2028471568. The cubic root of 198167640 is about 583.0121144877.

The spelling of 198167640 in words is "one hundred ninety-eight million, one hundred sixty-seven thousand, six hundred forty".