970768 has 40 divisors (see below), whose sum is σ = 2062368. Its totient is φ = 440832.

The previous prime is 970747. The next prime is 970777. The reversal of 970768 is 867079.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11655 + ... + 11737.

2⁹⁷⁰⁷⁶⁸ 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 970768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031184).

970768 is an abundant number, since it is smaller than the sum of its proper divisors (1091600).

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

970768 is a wasteful number, since it uses less digits than its factorization.

970768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 970768 is about 985.2755959629. The cubic root of 970768 is about 99.0159481840.

Adding to 970768 its product of nonzero digits (21168), we get a triangular number (991936 = T₁₄₀₈).

The spelling of 970768 in words is "nine hundred seventy thousand, seven hundred sixty-eight".