1997568000 has 576 divisors, whose sum is σ = 7844709600. Its totient is φ = 501350400.

The previous prime is 1997567989. The next prime is 1997568007. The reversal of 1997568000 is 8657991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997568007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 117503992 + ... + 117504008.

Almost surely, 2^1997568000 is an apocalyptic number.

1997568000 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 1997568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922354800).

1997568000 is an abundant number, since it is smaller than the sum of its proper divisors (5847141600).

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

1997568000 is an equidigital number, since it uses as much as digits as its factorization.

1997568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 1997568000 is about 44694.1606924216. The cubic root of 1997568000 is about 1259.4101547572.

The spelling of 1997568000 in words is "one billion, nine hundred ninety-seven million, five hundred sixty-eight thousand".