197678880 has 240 divisors, whose sum is σ = 797670720. Its totient is φ = 45163008.

The previous prime is 197678863. The next prime is 197678881. The reversal of 197678880 is 88876791.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (197678881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89631 + ... + 91809.

It is an arithmetic number, because the mean of its divisors is an integer number (3323628).

Almost surely, 2^197678880 is an apocalyptic number.

197678880 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 197678880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398835360).

197678880 is an abundant number, since it is smaller than the sum of its proper divisors (599991840).

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

197678880 is a wasteful number, since it uses less digits than its factorization.

197678880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The square root of 197678880 is about 14059.8321469355. The cubic root of 197678880 is about 582.5324068495.

The spelling of 197678880 in words is "one hundred ninety-seven million, six hundred seventy-eight thousand, eight hundred eighty".