961480 has 48 divisors (see below), whose sum is σ = 2385180. Its totient is φ = 346752.

The previous prime is 961459. The next prime is 961487. The reversal of 961480 is 84169.

It can be written as a sum of positive squares in 2 ways, for example, as 894916 + 66564 = 946^2 + 258^2 .

It is not an unprimeable number, because it can be changed into a prime (961487) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22339 + ... + 22381.

2⁹⁶¹⁴⁸⁰ 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 961480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192590).

961480 is an abundant number, since it is smaller than the sum of its proper divisors (1423700).

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

961480 is a wasteful number, since it uses less digits than its factorization.

961480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 961480 is about 980.5508655853. The cubic root of 961480 is about 98.6991513035.

It can be divided in two parts, 961 and 480, that multiplied together give a triangular number (461280 = T₉₆₀).

The spelling of 961480 in words is "nine hundred sixty-one thousand, four hundred eighty".