197188992 has 640 divisors, whose sum is σ = 829382400. Its totient is φ = 44789760.

The previous prime is 197188969. The next prime is 197188997. The reversal of 197188992 is 299881791.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197188997) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10378359 + ... + 10378377.

It is an arithmetic number, because the mean of its divisors is an integer number (1295910).

Almost surely, 2^197188992 is an apocalyptic number.

197188992 is a gapful number since it is divisible by the number (12) 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 197188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414691200).

197188992 is an abundant number, since it is smaller than the sum of its proper divisors (632193408).

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

197188992 is a wasteful number, since it uses less digits than its factorization.

197188992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 55 counting only the distinct ones).

The product of its digits is 653184, while the sum is 54.

The square root of 197188992 is about 14042.3997949069. The cubic root of 197188992 is about 582.0507979893.

The spelling of 197188992 in words is "one hundred ninety-seven million, one hundred eighty-eight thousand, nine hundred ninety-two".