984963000 has 512 divisors, whose sum is σ = 3881779200. Its totient is φ = 202752000.

The previous prime is 984962987. The next prime is 984963011. The reversal of 984963000 is 369489.

It is a super-2 number, since 2×984963000² = 1940304222738000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 984963000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11066956 + ... + 11067044.

It is an arithmetic number, because the mean of its divisors is an integer number (7581600).

Almost surely, 2^984963000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984963000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940889600).

984963000 is an abundant number, since it is smaller than the sum of its proper divisors (2896816200).

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

984963000 is a wasteful number, since it uses less digits than its factorization.

984963000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 984963000 is about 31384.1201884010. The cubic root of 984963000 is about 994.9623311750.

The spelling of 984963000 in words is "nine hundred eighty-four million, nine hundred sixty-three thousand".