966518280 has 384 divisors, whose sum is σ = 3911281920. Its totient is φ = 201553920.

The previous prime is 966518269. The next prime is 966518339. The reversal of 966518280 is 82815669.

966518280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5339790 + ... + 5339970.

It is an arithmetic number, because the mean of its divisors is an integer number (10185630).

Almost surely, 2^966518280 is an apocalyptic number.

966518280 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 966518280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955640960).

966518280 is an abundant number, since it is smaller than the sum of its proper divisors (2944763640).

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

966518280 is a wasteful number, since it uses less digits than its factorization.

966518280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 966518280 is about 31088.8771106323. The cubic root of 966518280 is about 988.7124983446.

The spelling of 966518280 in words is "nine hundred sixty-six million, five hundred eighteen thousand, two hundred eighty".