967001048 has 64 divisors (see below), whose sum is σ = 2065308000. Its totient is φ = 420774912.

The previous prime is 967001047. The next prime is 967001093. The reversal of 967001048 is 840100769.

967001048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 967000999 and 967001017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967001047) 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, 451436 + ... + 453572.

Almost surely, 2^967001048 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 967001048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032654000).

967001048 is an abundant number, since it is smaller than the sum of its proper divisors (1098306952).

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

967001048 is a wasteful number, since it uses less digits than its factorization.

967001048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 967001048 is about 31096.6404616319. The cubic root of 967001048 is about 988.8770888874.

The spelling of 967001048 in words is "nine hundred sixty-seven million, one thousand, forty-eight".