648976320 has 224 divisors, whose sum is σ = 2364272640. Its totient is φ = 167408640.

The previous prime is 648976301. The next prime is 648976333. The reversal of 648976320 is 23679846.

648976320 is a `hidden beast` number, since 6 + 4 + 8 + 9 + 7 + 632 + 0 = 666.

648976320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266629 + ... + 269051.

Almost surely, 2^648976320 is an apocalyptic number.

648976320 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 648976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182136320).

648976320 is an abundant number, since it is smaller than the sum of its proper divisors (1715296320).

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

648976320 is a wasteful number, since it uses less digits than its factorization.

648976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 648976320 is about 25475.0136408207. The cubic root of 648976320 is about 865.7841219728.

It can be divided in two parts, 64897 and 6320, that added together give a palindrome (71217).

The spelling of 648976320 in words is "six hundred forty-eight million, nine hundred seventy-six thousand, three hundred twenty".