966068376 has 256 divisors, whose sum is σ = 3234201600. Its totient is φ = 233280000.

The previous prime is 966068359. The next prime is 966068393. The reversal of 966068376 is 673860669.

It is an interprime number because it is at equal distance from previous prime (966068359) and next prime (966068393).

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, 1286001 + ... + 1286751.

It is an arithmetic number, because the mean of its divisors is an integer number (12633600).

Almost surely, 2^966068376 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 966068376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617100800).

966068376 is an abundant number, since it is smaller than the sum of its proper divisors (2268133224).

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

966068376 is a wasteful number, since it uses less digits than its factorization.

966068376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 966068376 is about 31081.6404972453. The cubic root of 966068376 is about 988.5590628102.

The spelling of 966068376 in words is "nine hundred sixty-six million, sixty-eight thousand, three hundred seventy-six".