63166720 has 72 divisors (see below), whose sum is σ = 153974520. Its totient is φ = 24821760.

The previous prime is 63166709. The next prime is 63166721. The reversal of 63166720 is 2766136.

It can be written as a sum of positive squares in 4 ways, for example, as 3444736 + 59721984 = 1856^2 + 7728^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63166721) 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 7 ways as a sum of consecutive naturals, for example, 77676 + ... + 78484.

It is an arithmetic number, because the mean of its divisors is an integer number (2138535).

Almost surely, 2^63166720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76987260).

63166720 is an abundant number, since it is smaller than the sum of its proper divisors (90807800).

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

63166720 is an equidigital number, since it uses as much as digits as its factorization.

63166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 63166720 is about 7947.7493669592. The cubic root of 63166720 is about 398.2564107847.

The spelling of 63166720 in words is "sixty-three million, one hundred sixty-six thousand, seven hundred twenty".