963381000 has 256 divisors, whose sum is σ = 3141815040. Its totient is φ = 245606400.

The previous prime is 963380993. The next prime is 963381031. The reversal of 963381000 is 183369.

It is a super-2 number, since 2×963381000² = 1856205902322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11606959 + ... + 11607041.

It is an arithmetic number, because the mean of its divisors is an integer number (12272715).

Almost surely, 2^963381000 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 963381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570907520).

963381000 is an abundant number, since it is smaller than the sum of its proper divisors (2178434040).

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

963381000 is a wasteful number, since it uses less digits than its factorization.

963381000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 963381000 is about 31038.3794680070. The cubic root of 963381000 is about 987.6415649208.

The spelling of 963381000 in words is "nine hundred sixty-three million, three hundred eighty-one thousand".