9581961600 has 288 divisors, whose sum is σ = 36203698440. Its totient is φ = 2404761600.

The previous prime is 9581961589. The next prime is 9581961629. The reversal of 9581961600 is 61691859.

9581961600 is a `hidden beast` number, since 9 + 581 + 9 + 6 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479815 + ... + 499385.

Almost surely, 2^9581961600 is an apocalyptic number.

9581961600 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 9581961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18101849220).

9581961600 is an abundant number, since it is smaller than the sum of its proper divisors (26621736840).

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

9581961600 is a wasteful number, since it uses less digits than its factorization.

9581961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19618 (or 19598 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 9581961600 is about 97887.4946047757. The cubic root of 9581961600 is about 2123.9851467781.

The spelling of 9581961600 in words is "nine billion, five hundred eighty-one million, nine hundred sixty-one thousand, six hundred".