63456840 has 96 divisors (see below), whose sum is σ = 207230400. Its totient is φ = 16840320.

The previous prime is 63456823. The next prime is 63456853. The reversal of 63456840 is 4865436.

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 = 63456795 and 63456804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128995 + ... + 129485.

It is an arithmetic number, because the mean of its divisors is an integer number (2158650).

Almost surely, 2^63456840 is an apocalyptic number.

63456840 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 63456840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103615200).

63456840 is an abundant number, since it is smaller than the sum of its proper divisors (143773560).

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

63456840 is a wasteful number, since it uses less digits than its factorization.

63456840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 860 counting only the distinct ones).

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

The square root of 63456840 is about 7965.9801656796. The cubic root of 63456840 is about 398.8652002852.

The spelling of 63456840 in words is "sixty-three million, four hundred fifty-six thousand, eight hundred forty".