961308000 has 576 divisors, whose sum is σ = 3777725952. Its totient is φ = 239500800.

The previous prime is 961307987. The next prime is 961308053. The reversal of 961308000 is 803169.

It is a super-2 number, since 2×961308000² = 1848226141728000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22355979 + ... + 22356021.

It is an arithmetic number, because the mean of its divisors is an integer number (6558552).

Almost surely, 2^961308000 is an apocalyptic number.

961308000 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 961308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888862976).

961308000 is an abundant number, since it is smaller than the sum of its proper divisors (2816417952).

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

961308000 is a wasteful number, since it uses less digits than its factorization.

961308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 961308000 is about 31004.9673439596. The cubic root of 961308000 is about 986.9326549333.

The spelling of 961308000 in words is "nine hundred sixty-one million, three hundred eight thousand".