197913600 has 198 divisors, whose sum is σ = 709449260. Its totient is φ = 52715520.

The previous prime is 197913581. The next prime is 197913619. The reversal of 197913600 is 6319791.

It is an interprime number because it is at equal distance from previous prime (197913581) and next prime (197913619).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 229971 + ... + 230829.

Almost surely, 2^197913600 is an apocalyptic number.

197913600 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 197913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354724630).

197913600 is an abundant number, since it is smaller than the sum of its proper divisors (511535660).

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

197913600 is a wasteful number, since it uses less digits than its factorization.

197913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 197913600 is about 14068.1768541627. The cubic root of 197913600 is about 582.7628781482.

The spelling of 197913600 in words is "one hundred ninety-seven million, nine hundred thirteen thousand, six hundred".