63085440 has 256 divisors, whose sum is σ = 229132800. Its totient is φ = 14622720.

The previous prime is 63085439. The next prime is 63085441. The reversal of 63085440 is 4458036.

It is an interprime number because it is at equal distance from previous prime (63085439) and next prime (63085441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 63085398 and 63085407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63085441) 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 31 ways as a sum of consecutive naturals, for example, 612429 + ... + 612531.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^63085440 is an apocalyptic number.

63085440 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 63085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

63085440 is an abundant number, since it is smaller than the sum of its proper divisors (166047360).

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

63085440 is a wasteful number, since it uses less digits than its factorization.

63085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 63085440 is about 7942.6343236989. The cubic root of 63085440 is about 398.0855181839.

The spelling of 63085440 in words is "sixty-three million, eighty-five thousand, four hundred forty".