963936000 has 216 divisors, whose sum is σ = 3469559184. Its totient is φ = 256972800.

The previous prime is 963935993. The next prime is 963936059. The reversal of 963936000 is 639369.

963936000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×963936000² = 1858345224192000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286327 + ... + 289673.

It is an arithmetic number, because the mean of its divisors is an integer number (16062774).

Almost surely, 2^963936000 is an apocalyptic number.

963936000 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 963936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734779592).

963936000 is an abundant number, since it is smaller than the sum of its proper divisors (2505623184).

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

963936000 is a wasteful number, since it uses less digits than its factorization.

963936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 963936000 is about 31047.3187248110. The cubic root of 963936000 is about 987.8311873172.

The spelling of 963936000 in words is "nine hundred sixty-three million, nine hundred thirty-six thousand".