963090 has 80 divisors (see below), whose sum is σ = 2744280. Its totient is φ = 241920.

The previous prime is 963047. The next prime is 963097. The reversal of 963090 is 90369.

It can be written as a sum of positive squares in 4 ways, for example, as 531441 + 431649 = 729^2 + 657^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 963090.

It is not an unprimeable number, because it can be changed into a prime (963097) by changing a digit.

963090 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 39 ways as a sum of consecutive naturals, for example, 23470 + ... + 23510.

2⁹⁶³⁰⁹⁰ is an apocalyptic number.

963090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 963090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372140).

963090 is an abundant number, since it is smaller than the sum of its proper divisors (1781190).

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

963090 is a wasteful number, since it uses less digits than its factorization.

963090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 963090 is about 981.3714892944. The cubic root of 963090 is about 98.7542112182.

The spelling of 963090 in words is "nine hundred sixty-three thousand, ninety".