963540 has 72 divisors (see below), whose sum is σ = 3007368. Its totient is φ = 249600.

The previous prime is 963499. The next prime is 963559. The reversal of 963540 is 45369.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 427716 + 535824 = 654^2 + 732^2 .

It is a congruent number.

It is an unprimeable number.

963540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9490 + ... + 9590.

It is an arithmetic number, because the mean of its divisors is an integer number (41769).

2⁹⁶³⁵⁴⁰ is an apocalyptic number.

963540 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 963540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503684).

963540 is an abundant number, since it is smaller than the sum of its proper divisors (2043828).

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

963540 is a wasteful number, since it uses less digits than its factorization.

963540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 963540 is about 981.6007334961. The cubic root of 963540 is about 98.7695896617.

The spelling of 963540 in words is "nine hundred sixty-three thousand, five hundred forty".