966301776 has 120 divisors (see below), whose sum is σ = 3022306560. Its totient is φ = 285657600.

The previous prime is 966301771. The next prime is 966301789. The reversal of 966301776 is 677103669.

966301776 is a `hidden beast` number, since 9 + 6 + 630 + 1 + 7 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966301771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57505 + ... + 72383.

It is an arithmetic number, because the mean of its divisors is an integer number (25185888).

Almost surely, 2^966301776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966301776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511153280).

966301776 is an abundant number, since it is smaller than the sum of its proper divisors (2056004784).

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

966301776 is a wasteful number, since it uses less digits than its factorization.

966301776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14945 (or 14936 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 966301776 is about 31085.3948985693. The cubic root of 966301776 is about 988.6386676333.

The spelling of 966301776 in words is "nine hundred sixty-six million, three hundred one thousand, seven hundred seventy-six".