963240576 has 64 divisors (see below), whose sum is σ = 2562468480. Its totient is φ = 320595968.

The previous prime is 963240571. The next prime is 963240581. The reversal of 963240576 is 675042369.

It is an interprime number because it is at equal distance from previous prime (963240571) and next prime (963240581).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (963240571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327625 + ... + 330551.

It is an arithmetic number, because the mean of its divisors is an integer number (40038570).

Almost surely, 2^963240576 is an apocalyptic number.

963240576 is a gapful number since it is divisible by the number (96) 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 963240576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281234240).

963240576 is an abundant number, since it is smaller than the sum of its proper divisors (1599227904).

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

963240576 is a wasteful number, since it uses less digits than its factorization.

963240576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 963240576 is about 31036.1172829334. The cubic root of 963240576 is about 987.5935758357.

The spelling of 963240576 in words is "nine hundred sixty-three million, two hundred forty thousand, five hundred seventy-six".