967950 has 60 divisors (see below), whose sum is σ = 2700720. Its totient is φ = 257040.

The previous prime is 967937. The next prime is 967951. The reversal of 967950 is 59769.

967950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967951) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3931 + ... + 4169.

It is an arithmetic number, because the mean of its divisors is an integer number (45012).

2⁹⁶⁷⁹⁵⁰ is an apocalyptic number.

967950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 967950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350360).

967950 is an abundant number, since it is smaller than the sum of its proper divisors (1732770).

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

967950 is a wasteful number, since it uses less digits than its factorization.

967950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 967950 is about 983.8444999084. The cubic root of 967950 is about 98.9200456375.

The spelling of 967950 in words is "nine hundred sixty-seven thousand, nine hundred fifty".