63485640 has 128 divisors (see below), whose sum is σ = 219024000. Its totient is φ = 16337664.

The previous prime is 63485629. The next prime is 63485651. The reversal of 63485640 is 4658436.

63485640 is a `hidden beast` number, since 6 + 3 + 4 + 8 + 5 + 640 = 666.

63485640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63485629) and next prime (63485651).

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

It is a junction number, because it is equal to n+sod(n) for n = 63485595 and 63485604.

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 31 ways as a sum of consecutive naturals, for example, 30307 + ... + 32333.

It is an arithmetic number, because the mean of its divisors is an integer number (1711125).

Almost surely, 2^63485640 is an apocalyptic number.

63485640 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 63485640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109512000).

63485640 is an abundant number, since it is smaller than the sum of its proper divisors (155538360).

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

63485640 is a wasteful number, since it uses less digits than its factorization.

63485640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 63485640 is about 7967.7876477727. The cubic root of 63485640 is about 398.9255330529.

The spelling of 63485640 in words is "sixty-three million, four hundred eighty-five thousand, six hundred forty".