967400 has 48 divisors (see below), whose sum is σ = 2574240. Its totient is φ = 331200.

The previous prime is 967397. The next prime is 967427. The reversal of 967400 is 4769.

967400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 967400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1055 + ... + 1745.

It is an arithmetic number, because the mean of its divisors is an integer number (53630).

2⁹⁶⁷⁴⁰⁰ 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 967400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287120).

967400 is an abundant number, since it is smaller than the sum of its proper divisors (1606840).

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

967400 is a wasteful number, since it uses less digits than its factorization.

967400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 967400 is about 983.5649444749. The cubic root of 967400 is about 98.9013062628.

The spelling of 967400 in words is "nine hundred sixty-seven thousand, four hundred".