63466920 has 288 divisors, whose sum is σ = 239016960. Its totient is φ = 14572800.

The previous prime is 63466919. The next prime is 63466937. The reversal of 63466920 is 2966436.

63466920 = 39³ + 40³ + ... + 126³.

63466920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1350337 + ... + 1350383.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 2^63466920 is an apocalyptic number.

63466920 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 63466920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

63466920 is an abundant number, since it is smaller than the sum of its proper divisors (175550040).

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

63466920 is a wasteful number, since it uses less digits than its factorization.

63466920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 63466920 is about 7966.6128310594. The cubic root of 63466920 is about 398.8863188300.

The spelling of 63466920 in words is "sixty-three million, four hundred sixty-six thousand, nine hundred twenty".