961440 has 48 divisors (see below), whose sum is σ = 3030048. Its totient is φ = 256256.

The previous prime is 961427. The next prime is 961447. The reversal of 961440 is 44169.

961440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 961440.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961440.

It is not an unprimeable number, because it can be changed into a prime (961447) 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, 522 + ... + 1481.

It is an arithmetic number, because the mean of its divisors is an integer number (63126).

2⁹⁶¹⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

961440 is an abundant number, since it is smaller than the sum of its proper divisors (2068608).

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

961440 is a wasteful number, since it uses less digits than its factorization.

961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 961440 is about 980.5304686750. The cubic root of 961440 is about 98.6977825731.

The spelling of 961440 in words is "nine hundred sixty-one thousand, four hundred forty".