963632880 has 480 divisors, whose sum is σ = 4039027200. Its totient is φ = 200890368.

The previous prime is 963632867. The next prime is 963632897. The reversal of 963632880 is 88236369.

963632880 is a `hidden beast` number, since 9 + 6 + 3 + 632 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2776867 + ... + 2777213.

It is an arithmetic number, because the mean of its divisors is an integer number (8414640).

Almost surely, 2^963632880 is an apocalyptic number.

963632880 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 963632880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019513600).

963632880 is an abundant number, since it is smaller than the sum of its proper divisors (3075394320).

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

963632880 is a wasteful number, since it uses less digits than its factorization.

963632880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 963632880 is about 31042.4367600226. The cubic root of 963632880 is about 987.7276317625.

The spelling of 963632880 in words is "nine hundred sixty-three million, six hundred thirty-two thousand, eight hundred eighty".