967159872 has 224 divisors, whose sum is σ = 3338819840. Its totient is φ = 268738560.

The previous prime is 967159861. The next prime is 967159883. The reversal of 967159872 is 278951769.

It is an interprime number because it is at equal distance from previous prime (967159861) and next prime (967159883).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446472 + ... + 448632.

Almost surely, 2^967159872 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 967159872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669409920).

967159872 is an abundant number, since it is smaller than the sum of its proper divisors (2371659968).

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

967159872 is a wasteful number, since it uses less digits than its factorization.

967159872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2210 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 967159872 is about 31099.1940731589. The cubic root of 967159872 is about 988.9312249256.

The spelling of 967159872 in words is "nine hundred sixty-seven million, one hundred fifty-nine thousand, eight hundred seventy-two".