964800 has 126 divisors (see below), whose sum is σ = 3480308. Its totient is φ = 253440.

The previous prime is 964793. The next prime is 964823. The reversal of 964800 is 8469.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14367 + ... + 14433.

2⁹⁶⁴⁸⁰⁰ is an apocalyptic number.

964800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740154).

964800 is an abundant number, since it is smaller than the sum of its proper divisors (2515508).

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

964800 is a wasteful number, since it uses less digits than its factorization.

964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 964800 is about 982.2423326247. The cubic root of 964800 is about 98.8126238466.

It can be divided in two parts, 964 and 800, that added together give a square (1764 = 42²).

The spelling of 964800 in words is "nine hundred sixty-four thousand, eight hundred".