648262520 has 128 divisors (see below), whose sum is σ = 1615680000. Its totient is φ = 233114112.

The previous prime is 648262519. The next prime is 648262529. The reversal of 648262520 is 25262846.

It is a Cunningham number, because it is equal to 25461²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648262529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1476461 + ... + 1476899.

It is an arithmetic number, because the mean of its divisors is an integer number (12622500).

Almost surely, 2^648262520 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 648262520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807840000).

648262520 is an abundant number, since it is smaller than the sum of its proper divisors (967417480).

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

648262520 is a wasteful number, since it uses less digits than its factorization.

648262520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 648262520 is about 25460.9999803621. Note that the first 4 decimals coincide. The cubic root of 648262520 is about 865.4665842337.

The spelling of 648262520 in words is "six hundred forty-eight million, two hundred sixty-two thousand, five hundred twenty".