648635040 has 336 divisors, whose sum is σ = 2359935648. Its totient is φ = 168334848.

The previous prime is 648635033. The next prime is 648635063. The reversal of 648635040 is 40536846.

648635040 is a `hidden beast` number, since 648 + 6 + 3 + 5 + 0 + 4 + 0 = 666.

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 = 648634986 and 648635004.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7814839 + ... + 7814921.

It is an arithmetic number, because the mean of its divisors is an integer number (7023618).

Almost surely, 2^648635040 is an apocalyptic number.

648635040 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 648635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179967824).

648635040 is an abundant number, since it is smaller than the sum of its proper divisors (1711300608).

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

648635040 is an equidigital number, since it uses as much as digits as its factorization.

648635040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

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

The square root of 648635040 is about 25468.3144318583. The cubic root of 648635040 is about 865.6323308080.

The spelling of 648635040 in words is "six hundred forty-eight million, six hundred thirty-five thousand, forty".