966077670 has 64 divisors (see below), whose sum is σ = 2404007424. Its totient is φ = 248282880.

The previous prime is 966077663. The next prime is 966077681. The reversal of 966077670 is 76770669.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97359 + ... + 106821.

It is an arithmetic number, because the mean of its divisors is an integer number (37562616).

Almost surely, 2^966077670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966077670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202003712).

966077670 is an abundant number, since it is smaller than the sum of its proper divisors (1437929754).

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

966077670 is a wasteful number, since it uses less digits than its factorization.

966077670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9597.

The product of its (nonzero) digits is 666792, while the sum is 48.

The square root of 966077670 is about 31081.7900063687. The cubic root of 966077670 is about 988.5622329235.

The spelling of 966077670 in words is "nine hundred sixty-six million, seventy-seven thousand, six hundred seventy".