9963000 has 192 divisors, whose sum is σ = 35773920. Its totient is φ = 2592000.

The previous prime is 9962999. The next prime is 9963029. The reversal of 9963000 is 3699.

It is a super-2 number, since 2×9963000² = 198522738000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242980 + ... + 243020.

Almost surely, 2^9963000 is an apocalyptic number.

9963000 is a gapful number since it is divisible by the number (90) 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 9963000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886960).

9963000 is an abundant number, since it is smaller than the sum of its proper divisors (25810920).

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

9963000 is a wasteful number, since it uses less digits than its factorization.

9963000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 9963000 is about 3156.4220250150. The cubic root of 9963000 is about 215.1774270027.

Adding to 9963000 its reverse (3699), we get a palindrome (9966699).

The spelling of 9963000 in words is "nine million, nine hundred sixty-three thousand".