961786008 has 64 divisors (see below), whose sum is σ = 2678256000. Its totient is φ = 319800096.

The previous prime is 961785997. The next prime is 961786027. The reversal of 961786008 is 800687169.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85191 + ... + 95817.

It is an arithmetic number, because the mean of its divisors is an integer number (41847750).

Almost surely, 2^961786008 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 961786008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339128000).

961786008 is an abundant number, since it is smaller than the sum of its proper divisors (1716469992).

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

961786008 is a wasteful number, since it uses less digits than its factorization.

961786008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11061 (or 11051 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 961786008 is about 31012.6749571848. The cubic root of 961786008 is about 987.0962110922.

The spelling of 961786008 in words is "nine hundred sixty-one million, seven hundred eighty-six thousand, eight".