197952000 has 160 divisors (see below), whose sum is σ = 658779264. Its totient is φ = 52736000.

The previous prime is 197951993. The next prime is 197952011. The reversal of 197952000 is 259791.

It is a tau number, because it is divible by the number of its divisors (160).

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, 191485 + ... + 192515.

Almost surely, 2^197952000 is an apocalyptic number.

197952000 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 197952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329389632).

197952000 is an abundant number, since it is smaller than the sum of its proper divisors (460827264).

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

197952000 is an equidigital number, since it uses as much as digits as its factorization.

197952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 197952000 is about 14069.5415703569. The cubic root of 197952000 is about 582.8005657172.

The spelling of 197952000 in words is "one hundred ninety-seven million, nine hundred fifty-two thousand".