9623952 has 120 divisors (see below), whose sum is σ = 29857464. Its totient is φ = 2875392.

The previous prime is 9623897. The next prime is 9623953. The reversal of 9623952 is 2593269.

It can be written as a sum of positive squares in 4 ways, for example, as 767376 + 8856576 = 876^2 + 2976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 9 + 6⁶ + 2⁵ + 3¹⁴ + 9⁷ + 5⁵ + 2¹³ .

It is not an unprimeable number, because it can be changed into a prime (9623953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99168 + ... + 99264.

Almost surely, 2^9623952 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 9623952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928732).

9623952 is an abundant number, since it is smaller than the sum of its proper divisors (20233512).

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

9623952 is a wasteful number, since it uses less digits than its factorization.

9623952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 168 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 9623952 is about 3102.2495064066. The cubic root of 9623952 is about 212.7083225803.

The spelling of 9623952 in words is "nine million, six hundred twenty-three thousand, nine hundred fifty-two".