961744 has 40 divisors (see below), whose sum is σ = 2206208. Its totient is φ = 397440.

The previous prime is 961739. The next prime is 961747. The reversal of 961744 is 447169.

961744 = T₇₁ + T₇₂ + ... + T₁₈₂.

961744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961747) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3334 + ... + 3610.

2⁹⁶¹⁷⁴⁴ 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 961744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103104).

961744 is an abundant number, since it is smaller than the sum of its proper divisors (1244464).

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

961744 is a wasteful number, since it uses less digits than its factorization.

961744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 961744 is about 980.6854745534. The cubic root of 961744 is about 98.7081839724.

The spelling of 961744 in words is "nine hundred sixty-one thousand, seven hundred forty-four".