9600005952 has 140 divisors (see below), whose sum is σ = 29439176580. Its totient is φ = 3089608704.

The previous prime is 9600005951. The next prime is 9600005969. The reversal of 9600005952 is 2595000069.

9600005952 is a `hidden beast` number, since 9 + 60 + 0 + 0 + 0 + 595 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5748065856 + 3851940096 = 75816^2 + 62064^2 .

It is a super-2 number, since 2×9600005952² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9600005951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118408 + ... + 182264.

Almost surely, 2^9600005952 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 9600005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719588290).

9600005952 is an abundant number, since it is smaller than the sum of its proper divisors (19839170628).

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

9600005952 is a wasteful number, since it uses less digits than its factorization.

9600005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63910 (or 63891 counting only the distinct ones).

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

The square root of 9600005952 is about 97979.6200849952. The cubic root of 9600005952 is about 2125.3175775973.

The spelling of 9600005952 in words is "nine billion, six hundred million, five thousand, nine hundred fifty-two".