197949600 has 216 divisors, whose sum is σ = 735265440. Its totient is φ = 49973760.

The previous prime is 197949553. The next prime is 197949611. The reversal of 197949600 is 6949791.

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

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 35 ways as a sum of consecutive naturals, for example, 136077 + ... + 137523.

Almost surely, 2^197949600 is an apocalyptic number.

197949600 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 197949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367632720).

197949600 is an abundant number, since it is smaller than the sum of its proper divisors (537315840).

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

197949600 is a wasteful number, since it uses less digits than its factorization.

197949600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 197949600 is about 14069.4562794729. The cubic root of 197949600 is about 582.7982103869.

The spelling of 197949600 in words is "one hundred ninety-seven million, nine hundred forty-nine thousand, six hundred".