198516864 has 384 divisors, whose sum is σ = 716774400. Its totient is φ = 47443968.

The previous prime is 198516847. The next prime is 198516917. The reversal of 198516864 is 468615891.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 8631157 + ... + 8631179.

It is an arithmetic number, because the mean of its divisors is an integer number (1866600).

Almost surely, 2^198516864 is an apocalyptic number.

198516864 is a gapful number since it is divisible by the number (14) 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 198516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358387200).

198516864 is an abundant number, since it is smaller than the sum of its proper divisors (518257536).

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

198516864 is a wasteful number, since it uses less digits than its factorization.

198516864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 198516864 is about 14089.6012718600. The cubic root of 198516864 is about 583.3543875575.

The spelling of 198516864 in words is "one hundred ninety-eight million, five hundred sixteen thousand, eight hundred sixty-four".