197935920 has 640 divisors, whose sum is σ = 899942400. Its totient is φ = 38817792.

The previous prime is 197935909. The next prime is 197935937. The reversal of 197935920 is 29539791.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3734614 + ... + 3734666.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^197935920 is an apocalyptic number.

197935920 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 197935920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449971200).

197935920 is an abundant number, since it is smaller than the sum of its proper divisors (702006480).

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

197935920 is a wasteful number, since it uses less digits than its factorization.

197935920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 197935920 is about 14068.9701115611. The cubic root of 197935920 is about 582.7847846409.

The spelling of 197935920 in words is "one hundred ninety-seven million, nine hundred thirty-five thousand, nine hundred twenty".