961576 has 48 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 372960.

The previous prime is 961567. The next prime is 961601. The reversal of 961576 is 675169.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4201 + ... + 4423.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2⁹⁶¹⁵⁷⁶ 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 961576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

961576 is an abundant number, since it is smaller than the sum of its proper divisors (1336664).

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

961576 is a wasteful number, since it uses less digits than its factorization.

961576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its digits is 11340, while the sum is 34.

The square root of 961576 is about 980.5998164389. The cubic root of 961576 is about 98.7024361017.

It can be divided in two parts, 961 and 576, that multiplied together give a square (553536 = 744²).

The spelling of 961576 in words is "nine hundred sixty-one thousand, five hundred seventy-six".