960969792 has 56 divisors (see below), whose sum is σ = 2550416032. Its totient is φ = 319334400.

The previous prime is 960969787. The next prime is 960969797. The reversal of 960969792 is 297969069.

It is an interprime number because it is at equal distance from previous prime (960969787) and next prime (960969797).

It is a super-2 number, since 2×960969792² = 1846925882273046528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (960969797) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 55992 + ... + 71112.

Almost surely, 2^960969792 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 960969792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275208016).

960969792 is an abundant number, since it is smaller than the sum of its proper divisors (1589446240).

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

960969792 is a wasteful number, since it uses less digits than its factorization.

960969792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15467 (or 15457 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 57.

The square root of 960969792 is about 30999.5127703646. The cubic root of 960969792 is about 986.8169002631.

It can be divided in two parts, 9609 and 69792, that added together give a triangular number (79401 = T₃₉₈).

The spelling of 960969792 in words is "nine hundred sixty million, nine hundred sixty-nine thousand, seven hundred ninety-two".