9535026960 has 120 divisors (see below), whose sum is σ = 32138073240. Its totient is φ = 2533441536.

The previous prime is 9535026923. The next prime is 9535026961. The reversal of 9535026960 is 696205359.

9535026960 is a `hidden beast` number, since 9 + 53 + 502 + 6 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 159365376 + 9375661584 = 12624^2 + 96828^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9535026961) 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, 175536 + ... + 223344.

It is an arithmetic number, because the mean of its divisors is an integer number (267817277).

Almost surely, 2^9535026960 is an apocalyptic number.

9535026960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9535026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16069036620).

9535026960 is an abundant number, since it is smaller than the sum of its proper divisors (22603046280).

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

9535026960 is a wasteful number, since it uses less digits than its factorization.

9535026960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48105 (or 48096 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 9535026960 is about 97647.4626398454. The cubic root of 9535026960 is about 2120.5115473758.

The spelling of 9535026960 in words is "nine billion, five hundred thirty-five million, twenty-six thousand, nine hundred sixty".