967803408 has 240 divisors, whose sum is σ = 3258999744. Its totient is φ = 264176640.

The previous prime is 967803391. The next prime is 967803433. The reversal of 967803408 is 804308769.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 884910 + ... + 886002.

Almost surely, 2^967803408 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 967803408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629499872).

967803408 is an abundant number, since it is smaller than the sum of its proper divisors (2291196336).

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

967803408 is a wasteful number, since it uses less digits than its factorization.

967803408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 967803408 is about 31109.5388586845. The cubic root of 967803408 is about 989.1505170894.

The spelling of 967803408 in words is "nine hundred sixty-seven million, eight hundred three thousand, four hundred eight".