964200 has 48 divisors (see below), whose sum is σ = 2990880. Its totient is φ = 256960.

The previous prime is 964199. The next prime is 964207. The reversal of 964200 is 2469.

964200 = T₃₆ + T₃₇ + ... + T₁₇₉.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 964200.

It is not an unprimeable number, because it can be changed into a prime (964207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (62310).

2⁹⁶⁴²⁰⁰ 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 964200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495440).

964200 is an abundant number, since it is smaller than the sum of its proper divisors (2026680).

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

964200 is a wasteful number, since it uses less digits than its factorization.

964200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 964200 is about 981.9368615140. The cubic root of 964200 is about 98.7921360534.

Adding to 964200 its reverse (2469), we get a palindrome (966669).

The spelling of 964200 in words is "nine hundred sixty-four thousand, two hundred".