63320400 has 480 divisors, whose sum is σ = 271232640. Its totient is φ = 13824000.

The previous prime is 63320399. The next prime is 63320417. The reversal of 63320400 is 402336.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 1544380 + ... + 1544420.

It is an arithmetic number, because the mean of its divisors is an integer number (565068).

Almost surely, 2^63320400 is an apocalyptic number.

63320400 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 63320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135616320).

63320400 is an abundant number, since it is smaller than the sum of its proper divisors (207912240).

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

63320400 is a wasteful number, since it uses less digits than its factorization.

63320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 63320400 is about 7957.4116394717. The cubic root of 63320400 is about 398.5791254315.

Adding to 63320400 its reverse (402336), we get a palindrome (63722736).

The spelling of 63320400 in words is "sixty-three million, three hundred twenty thousand, four hundred".