63264000 has 144 divisors (see below), whose sum is σ = 210450240. Its totient is φ = 16844800.

The previous prime is 63263983. The next prime is 63264001. The reversal of 63264000 is 46236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63264001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95671 + ... + 96329.

It is an arithmetic number, because the mean of its divisors is an integer number (1461460).

Almost surely, 2^63264000 is an apocalyptic number.

63264000 is a gapful number since it is divisible by the number (60) 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 63264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105225120).

63264000 is an abundant number, since it is smaller than the sum of its proper divisors (147186240).

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

63264000 is an equidigital number, since it uses as much as digits as its factorization.

63264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 63264000 is about 7953.8669840525. The cubic root of 63264000 is about 398.4607510461.

The spelling of 63264000 in words is "sixty-three million, two hundred sixty-four thousand".