967779216 has 60 divisors (see below), whose sum is σ = 2711255040. Its totient is φ = 322257600.

The previous prime is 967779181. The next prime is 967779217. The reversal of 967779216 is 612977769.

It is a happy number.

967779216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×967779216² = 1873193221843149312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (967779217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162825 + ... + 168663.

It is an arithmetic number, because the mean of its divisors is an integer number (45187584).

Almost surely, 2^967779216 is an apocalyptic number.

It is an amenable number.

967779216 is an abundant number, since it is smaller than the sum of its proper divisors (1743475824).

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

967779216 is a wasteful number, since it uses less digits than its factorization.

967779216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7004 (or 6995 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 54.

The square root of 967779216 is about 31109.1500366050. The cubic root of 967779216 is about 989.1422751508.

The spelling of 967779216 in words is "nine hundred sixty-seven million, seven hundred seventy-nine thousand, two hundred sixteen".