963504 has 30 divisors (see below), whose sum is σ = 2696876. Its totient is φ = 321120.

The previous prime is 963499. The next prime is 963559. The reversal of 963504 is 405369.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3202 + ... + 3489.

2⁹⁶³⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

963504 is an abundant number, since it is smaller than the sum of its proper divisors (1733372).

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

963504 is a wasteful number, since it uses less digits than its factorization.

963504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6705 (or 6696 counting only the distinct ones).

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

The square root of 963504 is about 981.5823959302. The cubic root of 963504 is about 98.7683595624.

It can be divided in two parts, 96 and 3504, that added together give a square (3600 = 60²).

The spelling of 963504 in words is "nine hundred sixty-three thousand, five hundred four".