963480 has 128 divisors (see below), whose sum is σ = 3502080. Its totient is φ = 207360.

The previous prime is 963461. The next prime is 963481. The reversal of 963480 is 84369.

963480 = T₉₉ + T₁₀₀ + ... + T₁₈₈.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26022 + ... + 26058.

It is an arithmetic number, because the mean of its divisors is an integer number (27360).

2⁹⁶³⁴⁸⁰ 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 963480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751040).

963480 is an abundant number, since it is smaller than the sum of its proper divisors (2538600).

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

963480 is a wasteful number, since it uses less digits than its factorization.

963480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 963480 is about 981.5701706959. The cubic root of 963480 is about 98.7675394792.

The spelling of 963480 in words is "nine hundred sixty-three thousand, four hundred eighty".