967095820 has 48 divisors (see below), whose sum is σ = 2159912160. Its totient is φ = 362686464.

The previous prime is 967095793. The next prime is 967095827. The reversal of 967095820 is 28590769.

It is a super-2 number, since 2×967095820² = 1870548650122944800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (967095827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23742 + ... + 49978.

It is an arithmetic number, because the mean of its divisors is an integer number (44998170).

Almost surely, 2^967095820 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 967095820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079956080).

967095820 is an abundant number, since it is smaller than the sum of its proper divisors (1192816340).

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

967095820 is a wasteful number, since it uses less digits than its factorization.

967095820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26362 (or 26360 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 967095820 is about 31098.1642545022. The cubic root of 967095820 is about 988.9093931606.

The spelling of 967095820 in words is "nine hundred sixty-seven million, ninety-five thousand, eight hundred twenty".