963242280 has 768 divisors, whose sum is σ = 4397299200. Its totient is φ = 184757760.

The previous prime is 963242251. The next prime is 963242281. The reversal of 963242280 is 82242369.

963242280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963242281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74095554 + ... + 74095566.

It is an arithmetic number, because the mean of its divisors is an integer number (5725650).

Almost surely, 2^963242280 is an apocalyptic number.

963242280 is a gapful number since it is divisible by the number (90) 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 963242280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198649600).

963242280 is an abundant number, since it is smaller than the sum of its proper divisors (3434056920).

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

963242280 is a wasteful number, since it uses less digits than its factorization.

963242280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 963242280 is about 31036.1447348088. The cubic root of 963242280 is about 987.5941581958.

The spelling of 963242280 in words is "nine hundred sixty-three million, two hundred forty-two thousand, two hundred eighty".