963872000 has 288 divisors, whose sum is σ = 2964159744. Its totient is φ = 304128000.

The previous prime is 963871973. The next prime is 963872003. The reversal of 963872000 is 278369.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963872003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2911835 + ... + 2912165.

Almost surely, 2^963872000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 963872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482079872).

963872000 is an abundant number, since it is smaller than the sum of its proper divisors (2000287744).

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

963872000 is a wasteful number, since it uses less digits than its factorization.

963872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 963872000 is about 31046.2880228861. The cubic root of 963872000 is about 987.8093246640.

The spelling of 963872000 in words is "nine hundred sixty-three million, eight hundred seventy-two thousand".