967606272 has 192 divisors, whose sum is σ = 2975026860. Its totient is φ = 301989888.

The previous prime is 967606267. The next prime is 967606307. The reversal of 967606272 is 272606769.

It can be written as a sum of positive squares in 2 ways, for example, as 967458816 + 147456 = 31104^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×967606272² = 1872523795227475968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5013408 + ... + 5013600.

Almost surely, 2^967606272 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 967606272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487513430).

967606272 is an abundant number, since it is smaller than the sum of its proper divisors (2007420588).

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

967606272 is a wasteful number, since it uses less digits than its factorization.

967606272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 967606272 is about 31106.3702800568. The cubic root of 967606272 is about 989.0833511009.

The spelling of 967606272 in words is "nine hundred sixty-seven million, six hundred six thousand, two hundred seventy-two".