966746880 has 288 divisors, whose sum is σ = 3743953920. Its totient is φ = 234270720.

The previous prime is 966746821. The next prime is 966746887. The reversal of 966746880 is 88647669.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (966746887) 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, 378889 + ... + 381431.

It is an arithmetic number, because the mean of its divisors is an integer number (12999840).

Almost surely, 2^966746880 is an apocalyptic number.

966746880 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 966746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871976960).

966746880 is an abundant number, since it is smaller than the sum of its proper divisors (2777207040).

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

966746880 is a wasteful number, since it uses less digits than its factorization.

966746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 966746880 is about 31092.5534493390. The cubic root of 966746880 is about 988.7904419851.

The spelling of 966746880 in words is "nine hundred sixty-six million, seven hundred forty-six thousand, eight hundred eighty".