967411520 has 112 divisors (see below), whose sum is σ = 2456371008. Its totient is φ = 361635840.

The previous prime is 967411517. The next prime is 967411547. The reversal of 967411520 is 25114769.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 886175 + ... + 887265.

It is an arithmetic number, because the mean of its divisors is an integer number (21931884).

Almost surely, 2^967411520 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 967411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228185504).

967411520 is an abundant number, since it is smaller than the sum of its proper divisors (1488959488).

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

967411520 is a wasteful number, since it uses less digits than its factorization.

967411520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 967411520 is about 31103.2397026419. The cubic root of 967411520 is about 989.0169884039.

The spelling of 967411520 in words is "nine hundred sixty-seven million, four hundred eleven thousand, five hundred twenty".