9605952 has 140 divisors (see below), whose sum is σ = 30426660. Its totient is φ = 2985984.

The previous prime is 9605923. The next prime is 9605971. The reversal of 9605952 is 2595069.

9605952 is a `hidden beast` number, since 9 + 60 + 595 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 2509056 = 2664^2 + 1584^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88074 + ... + 88182.

Almost surely, 2^9605952 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 9605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213330).

9605952 is an abundant number, since it is smaller than the sum of its proper divisors (20820708).

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

9605952 is a wasteful number, since it uses less digits than its factorization.

9605952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 9605952 is about 3099.3470280044. The cubic root of 9605952 is about 212.5756279830.

The spelling of 9605952 in words is "nine million, six hundred five thousand, nine hundred fifty-two".