967488 has 28 divisors (see below), whose sum is σ = 2560320. Its totient is φ = 322432.

The previous prime is 967481. The next prime is 967493. The reversal of 967488 is 884769.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967481) by changing a digit.

967488 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, 2328 + ... + 2711.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

2⁹⁶⁷⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

967488 is an abundant number, since it is smaller than the sum of its proper divisors (1592832).

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

967488 is a wasteful number, since it uses less digits than its factorization.

967488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054 (or 5044 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 967488 is about 983.6096786836. The cubic root of 967488 is about 98.9043050400.

The spelling of 967488 in words is "nine hundred sixty-seven thousand, four hundred eighty-eight".