967361670 has 128 divisors (see below), whose sum is σ = 2890529280. Its totient is φ = 228147840.

The previous prime is 967361657. The next prime is 967361701. The reversal of 967361670 is 76163769.

It is a Cunningham number, because it is equal to 989³+1.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105489 + ... + 114291.

It is an arithmetic number, because the mean of its divisors is an integer number (22582260).

Almost surely, 2^967361670 is an apocalyptic number.

967361670 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 967361670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445264640).

967361670 is an abundant number, since it is smaller than the sum of its proper divisors (1923167610).

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

967361670 is a wasteful number, since it uses less digits than its factorization.

967361670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867 (or 8861 counting only the distinct ones).

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

The square root of 967361670 is about 31102.4383288513. The cubic root of 967361670 is about 989.0000003408. Note that the first 6 decimals are identical.

The spelling of 967361670 in words is "nine hundred sixty-seven million, three hundred sixty-one thousand, six hundred seventy".