198891264 has 144 divisors (see below), whose sum is σ = 622226304. Its totient is φ = 55603200.

The previous prime is 198891227. The next prime is 198891283. The reversal of 198891264 is 462198891.

198891264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108919 + ... + 110729.

It is an arithmetic number, because the mean of its divisors is an integer number (4321016).

Almost surely, 2^198891264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311113152).

198891264 is an abundant number, since it is smaller than the sum of its proper divisors (423335040).

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

198891264 is a wasteful number, since it uses less digits than its factorization.

198891264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1840 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 198891264 is about 14102.8814077124. The cubic root of 198891264 is about 583.7208899582.

The spelling of 198891264 in words is "one hundred ninety-eight million, eight hundred ninety-one thousand, two hundred sixty-four".