963656040 has 128 divisors (see below), whose sum is σ = 3001950720. Its totient is φ = 247296000.

The previous prime is 963655997. The next prime is 963656053. The reversal of 963656040 is 40656369.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 963656040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342640 + ... + 345440.

It is an arithmetic number, because the mean of its divisors is an integer number (23452740).

Almost surely, 2^963656040 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 963656040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500975360).

963656040 is an abundant number, since it is smaller than the sum of its proper divisors (2038294680).

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

963656040 is a wasteful number, since it uses less digits than its factorization.

963656040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 963656040 is about 31042.8097955066. The cubic root of 963656040 is about 987.7355447306.

The spelling of 963656040 in words is "nine hundred sixty-three million, six hundred fifty-six thousand, forty".