964224000 has 528 divisors, whose sum is σ = 3719579136. Its totient is φ = 248832000.

The previous prime is 964223971. The next prime is 964224007. The reversal of 964224000 is 422469.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964224007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31103985 + ... + 31104015.

Almost surely, 2^964224000 is an apocalyptic number.

964224000 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 964224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859789568).

964224000 is an abundant number, since it is smaller than the sum of its proper divisors (2755355136).

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

964224000 is an equidigital number, since it uses as much as digits as its factorization.

964224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 964224000 is about 31051.9564601009. The cubic root of 964224000 is about 987.9295572827.

Adding to 964224000 its reverse (422469), we get a palindrome (964646469).

The spelling of 964224000 in words is "nine hundred sixty-four million, two hundred twenty-four thousand".