9962000 has 80 divisors (see below), whose sum is σ = 25592112. Its totient is φ = 3737600.

The previous prime is 9961981. The next prime is 9962003. The reversal of 9962000 is 2699.

9962000 = T₁₆ + T₁₇ + ... + T₃₉₀.

It can be written as a sum of positive squares in 8 ways, for example, as 327184 + 9634816 = 572^2 + 3104^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9962003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33854 + ... + 34146.

Almost surely, 2^9962000 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 9962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796056).

9962000 is an abundant number, since it is smaller than the sum of its proper divisors (15630112).

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

9962000 is a wasteful number, since it uses less digits than its factorization.

9962000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 9962000 is about 3156.2636138320. The cubic root of 9962000 is about 215.1702275438.

Adding to 9962000 its reverse (2699), we get a palindrome (9964699).

The spelling of 9962000 in words is "nine million, nine hundred sixty-two thousand".