961040 has 40 divisors (see below), whose sum is σ = 2296728. Its totient is φ = 373760.

The previous prime is 961033. The next prime is 961063. The reversal of 961040 is 40169.

It can be written as a sum of positive squares in 4 ways, for example, as 92416 + 868624 = 304^2 + 932^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3134 + ... + 3426.

2⁹⁶¹⁰⁴⁰ 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 961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148364).

961040 is an abundant number, since it is smaller than the sum of its proper divisors (1335688).

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

961040 is a wasteful number, since it uses less digits than its factorization.

961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 961040 is about 980.3264762313. The cubic root of 961040 is about 98.6840931804.

It can be divided in two parts, 9610 and 40, that multiplied together give a square (384400 = 620²).

The spelling of 961040 in words is "nine hundred sixty-one thousand, forty".