9652000 has 96 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 3628800.

The previous prime is 9651979. The next prime is 9652007. The reversal of 9652000 is 2569.

It is a super-2 number, since 2×9652000² = 186322208000000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9652007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75937 + ... + 76063.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^9652000 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 9652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

9652000 is an abundant number, since it is smaller than the sum of its proper divisors (15507680).

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

9652000 is a wasteful number, since it uses less digits than its factorization.

9652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 9652000 is about 3106.7668081142. The cubic root of 9652000 is about 212.9147608707.

Adding to 9652000 its reverse (2569), we get a palindrome (9654569).

The spelling of 9652000 in words is "nine million, six hundred fifty-two thousand".