63006720 has 192 divisors, whose sum is σ = 231154560. Its totient is φ = 14352384.

The previous prime is 63006701. The next prime is 63006737. The reversal of 63006720 is 2760036.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214894 + ... + 215186.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 2^63006720 is an apocalyptic number.

63006720 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 63006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

63006720 is an abundant number, since it is smaller than the sum of its proper divisors (168147840).

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

63006720 is a wasteful number, since it uses less digits than its factorization.

63006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 63006720 is about 7937.6772421156. The cubic root of 63006720 is about 397.9198680456.

Adding to 63006720 its reverse (2760036), we get a palindrome (65766756).

The spelling of 63006720 in words is "sixty-three million, six thousand, seven hundred twenty".