9608900625 has 45 divisors (see below), whose sum is σ = 17357132221. Its totient is φ = 5120826000.

The previous prime is 9608900593. The next prime is 9608900627. The reversal of 9608900625 is 5260098069.

The square root of 9608900625 is 98025.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 753337809 + 8855562816 = 27447^2 + 94104^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 9608900625 - 2⁵ = 9608900593 is a prime.

It is a super-2 number, since 2×9608900625² (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9608900627) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7351222 + ... + 7352528.

Almost surely, 2^9608900625 is an apocalyptic number.

9608900625 is the 98025-th square number.

9608900625 is the 49013-rd centered octagonal number.

It is an amenable number.

9608900625 is a deficient number, since it is larger than the sum of its proper divisors (7748231596).

9608900625 is an frugal number, since it uses more digits than its factorization.

9608900625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The cubic root of 9608900625 is about 2125.9737636320.

The spelling of 9608900625 in words is "nine billion, six hundred eight million, nine hundred thousand, six hundred twenty-five".