1997964000 has 576 divisors, whose sum is σ = 7849820160. Its totient is φ = 479001600.

The previous prime is 1997963993. The next prime is 1997964029. The reversal of 1997964000 is 4697991.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15731937 + ... + 15732063.

It is an arithmetic number, because the mean of its divisors is an integer number (13628160).

Almost surely, 2^1997964000 is an apocalyptic number.

1997964000 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 1997964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924910080).

1997964000 is an abundant number, since it is smaller than the sum of its proper divisors (5851856160).

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

1997964000 is a wasteful number, since it uses less digits than its factorization.

1997964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1997964000 is about 44698.5905818069. The cubic root of 1997964000 is about 1259.4933715269.

The spelling of 1997964000 in words is "one billion, nine hundred ninety-seven million, nine hundred sixty-four thousand".