966591360 has 512 divisors, whose sum is σ = 4006886400. Its totient is φ = 215654400.

The previous prime is 966591337. The next prime is 966591391. The reversal of 966591360 is 63195669.

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

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, 7378495 + ... + 7378625.

It is an arithmetic number, because the mean of its divisors is an integer number (7825950).

Almost surely, 2^966591360 is an apocalyptic number.

966591360 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 966591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003443200).

966591360 is an abundant number, since it is smaller than the sum of its proper divisors (3040295040).

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

966591360 is a wasteful number, since it uses less digits than its factorization.

966591360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 966591360 is about 31090.0524283894. The cubic root of 966591360 is about 988.7374170967.

It can be divided in two parts, 9665 and 91360, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 966591360 in words is "nine hundred sixty-six million, five hundred ninety-one thousand, three hundred sixty".