197362880 has 224 divisors, whose sum is σ = 583752960. Its totient is φ = 62484480.

The previous prime is 197362871. The next prime is 197362927. The reversal of 197362880 is 88263791.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869327 + ... + 869553.

It is an arithmetic number, because the mean of its divisors is an integer number (2606040).

Almost surely, 2^197362880 is an apocalyptic number.

197362880 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 197362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291876480).

197362880 is an abundant number, since it is smaller than the sum of its proper divisors (386390080).

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

197362880 is a wasteful number, since it uses less digits than its factorization.

197362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 197362880 is about 14048.5899648328. The cubic root of 197362880 is about 582.2218384923.

The spelling of 197362880 in words is "one hundred ninety-seven million, three hundred sixty-two thousand, eight hundred eighty".