961308 has 72 divisors (see below), whose sum is σ = 2690688. Its totient is φ = 299376.

The previous prime is 961283. The next prime is 961313. The reversal of 961308 is 803169.

It is a super-2 number, since 2×961308² = 1848226141728, 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.

961308 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 22335 + ... + 22377.

2⁹⁶¹³⁰⁸ 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 961308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345344).

961308 is an abundant number, since it is smaller than the sum of its proper divisors (1729380).

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

961308 is a wasteful number, since it uses less digits than its factorization.

961308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 71 counting only the distinct ones).

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

The square root of 961308 is about 980.4631558605. The cubic root of 961308 is about 98.6932654933.

The spelling of 961308 in words is "nine hundred sixty-one thousand, three hundred eight".