1997746560 has 96 divisors (see below), whose sum is σ = 6898488480. Its totient is φ = 532730880.

The previous prime is 1997746529. The next prime is 1997746561. The reversal of 1997746560 is 656477991.

1997746560 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 74 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1997746497 and 1997746506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997746561) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 167656 + ... + 179175.

It is an arithmetic number, because the mean of its divisors is an integer number (71859255).

Almost surely, 2^1997746560 is an apocalyptic number.

1997746560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1997746560 is an abundant number, since it is smaller than the sum of its proper divisors (4900741920).

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

1997746560 is a wasteful number, since it uses less digits than its factorization.

1997746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346856 (or 346841 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 1997746560 is about 44696.1582241696. The cubic root of 1997746560 is about 1259.4476793165.

The spelling of 1997746560 in words is "one billion, nine hundred ninety-seven million, seven hundred forty-six thousand, five hundred sixty".