648099840 has 288 divisors, whose sum is σ = 2232725040. Its totient is φ = 160432128.

The previous prime is 648099811. The next prime is 648099841. The reversal of 648099840 is 48990846.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 648099840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648099841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8878044 + ... + 8878116.

Almost surely, 2^648099840 is an apocalyptic number.

648099840 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 648099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116362520).

648099840 is an abundant number, since it is smaller than the sum of its proper divisors (1584625200).

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

648099840 is a wasteful number, since it uses less digits than its factorization.

648099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 648099840 is about 25457.8050899916. The cubic root of 648099840 is about 865.3941825556.

The spelling of 648099840 in words is "six hundred forty-eight million, ninety-nine thousand, eight hundred forty".