967993696 has 48 divisors (see below), whose sum is σ = 1961266608. Its totient is φ = 470080000.

The previous prime is 967993673. The next prime is 967993721. The reversal of 967993696 is 696399769.

It is a happy number.

It is a super-3 number, since 3×967993696³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168471 + ... + 174121.

It is an arithmetic number, because the mean of its divisors is an integer number (40859721).

Almost surely, 2^967993696 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 967993696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980633304).

967993696 is an abundant number, since it is smaller than the sum of its proper divisors (993272912).

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

967993696 is a wasteful number, since it uses less digits than its factorization.

967993696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5815 (or 5807 counting only the distinct ones).

The product of its digits is 29760696, while the sum is 64.

The square root of 967993696 is about 31112.5970629261. The cubic root of 967993696 is about 989.2153412528.

The spelling of 967993696 in words is "nine hundred sixty-seven million, nine hundred ninety-three thousand, six hundred ninety-six".