967613472 has 192 divisors, whose sum is σ = 3251404800. Its totient is φ = 274233600.

The previous prime is 967613461. The next prime is 967613539. The reversal of 967613472 is 274316769.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 840097 + ... + 841247.

It is an arithmetic number, because the mean of its divisors is an integer number (16934400).

Almost surely, 2^967613472 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 967613472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625702400).

967613472 is an abundant number, since it is smaller than the sum of its proper divisors (2283791328).

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

967613472 is a wasteful number, since it uses less digits than its factorization.

967613472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1302 counting only the distinct ones).

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

The square root of 967613472 is about 31106.4860117629. The cubic root of 967613472 is about 989.0858043654.

The spelling of 967613472 in words is "nine hundred sixty-seven million, six hundred thirteen thousand, four hundred seventy-two".