648682320 has 320 divisors, whose sum is σ = 2425344768. Its totient is φ = 141312000.

The previous prime is 648682303. The next prime is 648682337. The reversal of 648682320 is 23286846.

It is an interprime number because it is at equal distance from previous prime (648682303) and next prime (648682337).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1406890 + ... + 1407350.

Almost surely, 2^648682320 is an apocalyptic number.

648682320 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 648682320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212672384).

648682320 is an abundant number, since it is smaller than the sum of its proper divisors (1776662448).

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

648682320 is a wasteful number, since it uses less digits than its factorization.

648682320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 648682320 is about 25469.2426271375. The cubic root of 648682320 is about 865.6533627185.

The spelling of 648682320 in words is "six hundred forty-eight million, six hundred eighty-two thousand, three hundred twenty".