967460364 has 72 divisors (see below), whose sum is σ = 2647535072. Its totient is φ = 296110080.

The previous prime is 967460363. The next prime is 967460401. The reversal of 967460364 is 463064769.

It is a super-2 number, since 2×967460364² = 1871959111822024992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (967460363) 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 23 ways as a sum of consecutive naturals, for example, 84969 + ... + 95679.

Almost surely, 2^967460364 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 967460364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323767536).

967460364 is an abundant number, since it is smaller than the sum of its proper divisors (1680074708).

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

967460364 is a wasteful number, since it uses less digits than its factorization.

967460364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10927 (or 10922 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 967460364 is about 31104.0248842493. The cubic root of 967460364 is about 989.0336330726.

The spelling of 967460364 in words is "nine hundred sixty-seven million, four hundred sixty thousand, three hundred sixty-four".