966400 has 54 divisors (see below), whose sum is σ = 2407832. Its totient is φ = 384000.

The previous prime is 966389. The next prime is 966401. The reversal of 966400 is 4669.

966400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6325 + ... + 6475.

2⁹⁶⁶⁴⁰⁰ 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 966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203916).

966400 is an abundant number, since it is smaller than the sum of its proper divisors (1441432).

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

966400 is a wasteful number, since it uses less digits than its factorization.

966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 966400 is about 983.0564581956. The cubic root of 966400 is about 98.8672164676.

The spelling of 966400 in words is "nine hundred sixty-six thousand, four hundred".