63064800 has 216 divisors, whose sum is σ = 234594360. Its totient is φ = 15897600.

The previous prime is 63064787. The next prime is 63064817. The reversal of 63064800 is 846036.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 136570 + ... + 137030.

It is an arithmetic number, because the mean of its divisors is an integer number (1086085).

Almost surely, 2^63064800 is an apocalyptic number.

63064800 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 63064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117297180).

63064800 is an abundant number, since it is smaller than the sum of its proper divisors (171529560).

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

63064800 is a wasteful number, since it uses less digits than its factorization.

63064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

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

The square root of 63064800 is about 7941.3349003804. The cubic root of 63064800 is about 398.0420988607.

The spelling of 63064800 in words is "sixty-three million, sixty-four thousand, eight hundred".