1997682960 has 480 divisors, whose sum is σ = 7908243840. Its totient is φ = 413392896.

The previous prime is 1997682931. The next prime is 1997682979. The reversal of 1997682960 is 692867991.

It is a self number, because there is not a number n which added to its sum of digits gives 1997682960.

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 95 ways as a sum of consecutive naturals, for example, 11160151 + ... + 11160329.

It is an arithmetic number, because the mean of its divisors is an integer number (16475508).

Almost surely, 2^1997682960 is an apocalyptic number.

1997682960 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 1997682960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954121920).

1997682960 is an abundant number, since it is smaller than the sum of its proper divisors (5910560880).

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

1997682960 is a wasteful number, since it uses less digits than its factorization.

1997682960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The square root of 1997682960 is about 44695.4467479630. The cubic root of 1997682960 is about 1259.4343139704.

The spelling of 1997682960 in words is "one billion, nine hundred ninety-seven million, six hundred eighty-two thousand, nine hundred sixty".