963537120 has 960 divisors, whose sum is σ = 4507937280. Its totient is φ = 188116992.

The previous prime is 963537089. The next prime is 963537121. The reversal of 963537120 is 21735369.

963537120 is a `hidden beast` number, since 9 + 635 + 3 + 7 + 12 + 0 = 666.

963537120 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 (963537121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22407819 + ... + 22407861.

It is an arithmetic number, because the mean of its divisors is an integer number (4695768).

Almost surely, 2^963537120 is an apocalyptic number.

963537120 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 963537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253968640).

963537120 is an abundant number, since it is smaller than the sum of its proper divisors (3544400160).

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

963537120 is a wasteful number, since it uses less digits than its factorization.

963537120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 963537120 is about 31040.8943170135. The cubic root of 963537120 is about 987.6949125485.

The spelling of 963537120 in words is "nine hundred sixty-three million, five hundred thirty-seven thousand, one hundred twenty".