199164000 has 192 divisors, whose sum is σ = 745984512. Its totient is φ = 45504000.

The previous prime is 199163953. The next prime is 199164011. The reversal of 199164000 is 461991.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 82815 + ... + 85185.

It is an arithmetic number, because the mean of its divisors is an integer number (3885336).

Almost surely, 2^199164000 is an apocalyptic number.

199164000 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 199164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372992256).

199164000 is an abundant number, since it is smaller than the sum of its proper divisors (546820512).

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

199164000 is a wasteful number, since it uses less digits than its factorization.

199164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 199164000 is about 14112.5476084228. The cubic root of 199164000 is about 583.9875833977.

The spelling of 199164000 in words is "one hundred ninety-nine million, one hundred sixty-four thousand".