197200920 has 128 divisors (see below), whose sum is σ = 698019840. Its totient is φ = 43614720.

The previous prime is 197200897. The next prime is 197200921. The reversal of 197200920 is 29002791.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197200921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22254 + ... + 29826.

It is an arithmetic number, because the mean of its divisors is an integer number (5453280).

Almost surely, 2^197200920 is an apocalyptic number.

197200920 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 197200920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349009920).

197200920 is an abundant number, since it is smaller than the sum of its proper divisors (500818920).

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

197200920 is a wasteful number, since it uses less digits than its factorization.

197200920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7625 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 197200920 is about 14042.8245022146. The cubic root of 197200920 is about 582.0625338742.

The spelling of 197200920 in words is "one hundred ninety-seven million, two hundred thousand, nine hundred twenty".