966064320 has 560 divisors, whose sum is σ = 3841504128. Its totient is φ = 228925440.

The previous prime is 966064301. The next prime is 966064343. The reversal of 966064320 is 23460669.

966064320 is a `hidden beast` number, since 9 + 6 + 6 + 0 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15837090 + ... + 15837150.

Almost surely, 2^966064320 is an apocalyptic number.

966064320 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 966064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920752064).

966064320 is an abundant number, since it is smaller than the sum of its proper divisors (2875439808).

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

966064320 is a wasteful number, since it uses less digits than its factorization.

966064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 966064320 is about 31081.5752496555. The cubic root of 966064320 is about 988.5576793329.

The spelling of 966064320 in words is "nine hundred sixty-six million, sixty-four thousand, three hundred twenty".