648887040 has 432 divisors, whose sum is σ = 2448875520. Its totient is φ = 158146560.

The previous prime is 648887039. The next prime is 648887077. The reversal of 648887040 is 40788846.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 8213721 + ... + 8213799.

Almost surely, 2^648887040 is an apocalyptic number.

648887040 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 648887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224437760).

648887040 is an abundant number, since it is smaller than the sum of its proper divisors (1799988480).

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

648887040 is a wasteful number, since it uses less digits than its factorization.

648887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 648887040 is about 25473.2612753059. The cubic root of 648887040 is about 865.7444180324.

It can be divided in two parts, 6488 and 87040, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 648887040 in words is "six hundred forty-eight million, eight hundred eighty-seven thousand, forty".