967520 has 24 divisors (see below), whose sum is σ = 2286144. Its totient is φ = 386944.

The previous prime is 967511. The next prime is 967529. The reversal of 967520 is 25769.

It is an interprime number because it is at equal distance from previous prime (967511) and next prime (967529).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 967520.

It is not an unprimeable number, because it can be changed into a prime (967529) by changing a digit.

967520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2864 + ... + 3183.

It is an arithmetic number, because the mean of its divisors is an integer number (95256).

2⁹⁶⁷⁵²⁰ is an apocalyptic number.

It is an amenable number.

967520 is an abundant number, since it is smaller than the sum of its proper divisors (1318624).

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

967520 is a wasteful number, since it uses less digits than its factorization.

967520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6062 (or 6054 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 967520 is about 983.6259451641. The cubic root of 967520 is about 98.9053954593.

The spelling of 967520 in words is "nine hundred sixty-seven thousand, five hundred twenty".