967764 has 48 divisors (see below), whose sum is σ = 2653056. Its totient is φ = 268800.

The previous prime is 967763. The next prime is 967781. The reversal of 967764 is 467769.

967764 is nontrivially palindromic in base 11.

Its product of digits (63504) is a multiple of the sum of its prime factors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967763) 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, 3304 + ... + 3584.

It is an arithmetic number, because the mean of its divisors is an integer number (55272).

2⁹⁶⁷⁷⁶⁴ 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 967764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326528).

967764 is an abundant number, since it is smaller than the sum of its proper divisors (1685292).

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

967764 is a wasteful number, since it uses less digits than its factorization.

967764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 967764 is about 983.7499682338. The cubic root of 967764 is about 98.9137091163.

The spelling of 967764 in words is "nine hundred sixty-seven thousand, seven hundred sixty-four".