961075008 has 168 divisors, whose sum is σ = 2966450760. Its totient is φ = 296386560.

The previous prime is 961075007. The next prime is 961075019. The reversal of 961075008 is 800570169.

It can be written as a sum of positive squares in 4 ways, for example, as 267911424 + 693163584 = 16368^2 + 26328^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (961075007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596508 + ... + 598116.

It is an arithmetic number, because the mean of its divisors is an integer number (17657445).

Almost surely, 2^961075008 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 961075008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483225380).

961075008 is an abundant number, since it is smaller than the sum of its proper divisors (2005375752).

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

961075008 is a wasteful number, since it uses less digits than its factorization.

961075008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 961075008 is about 31001.2097828456. The cubic root of 961075008 is about 986.8529142768.

The spelling of 961075008 in words is "nine hundred sixty-one million, seventy-five thousand, eight".