63010080 has 432 divisors, whose sum is σ = 268894080. Its totient is φ = 13353984.

The previous prime is 63010019. The next prime is 63010081. The reversal of 63010080 is 8001036.

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

It is not an unprimeable number, because it can be changed into a prime (63010081) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1340617 + ... + 1340663.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 2^63010080 is an apocalyptic number.

63010080 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 63010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

63010080 is an abundant number, since it is smaller than the sum of its proper divisors (205884000).

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

63010080 is a wasteful number, since it uses less digits than its factorization.

63010080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 63010080 is about 7937.8888881112. Note that the first 6 decimals coincide. The cubic root of 63010080 is about 397.9269412964.

It can be divided in two parts, 630 and 10080, that multiplied together give a square (6350400 = 2520²).

The spelling of 63010080 in words is "sixty-three million, ten thousand, eighty".