197987760 has 160 divisors (see below), whose sum is σ = 692098560. Its totient is φ = 52012800.

The previous prime is 197987737. The next prime is 197987813. The reversal of 197987760 is 67789791.

197987760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 197987697 and 197987706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152715 + ... + 154005.

It is an arithmetic number, because the mean of its divisors is an integer number (4325616).

Almost surely, 2^197987760 is an apocalyptic number.

197987760 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 197987760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346049280).

197987760 is an abundant number, since it is smaller than the sum of its proper divisors (494110800).

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

197987760 is a wasteful number, since it uses less digits than its factorization.

197987760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The square root of 197987760 is about 14070.8123432871. The cubic root of 197987760 is about 582.8356578833.

The spelling of 197987760 in words is "one hundred ninety-seven million, nine hundred eighty-seven thousand, seven hundred sixty".