881664000 has 448 divisors, whose sum is σ = 3434925312. Its totient is φ = 196608000.

The previous prime is 881663999. The next prime is 881664019. The reversal of 881664000 is 466188.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21503980 + ... + 21504020.

It is an arithmetic number, because the mean of its divisors is an integer number (7667244).

Almost surely, 2^881664000 is an apocalyptic number.

881664000 is a gapful number since it is divisible by the number (80) 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 881664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717462656).

881664000 is an abundant number, since it is smaller than the sum of its proper divisors (2553261312).

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

881664000 is an equidigital number, since it uses as much as digits as its factorization.

881664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 881664000 is about 29692.8274167348. The cubic root of 881664000 is about 958.8876003942.

The spelling of 881664000 in words is "eight hundred eighty-one million, six hundred sixty-four thousand".