648084880 has 80 divisors (see below), whose sum is σ = 1629538560. Its totient is φ = 238770176.

The previous prime is 648084793. The next prime is 648084907. The reversal of 648084880 is 88480846.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×648084880² = 840028023369228800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 648084880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58851 + ... + 68989.

It is an arithmetic number, because the mean of its divisors is an integer number (20369232).

Almost surely, 2^648084880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648084880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814769280).

648084880 is an abundant number, since it is smaller than the sum of its proper divisors (981453680).

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

648084880 is a wasteful number, since it uses less digits than its factorization.

648084880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10216 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The square root of 648084880 is about 25457.5112687788. The cubic root of 648084880 is about 865.3875239125.

The spelling of 648084880 in words is "six hundred forty-eight million, eighty-four thousand, eight hundred eighty".