648521100 has 288 divisors, whose sum is σ = 2249856000. Its totient is φ = 159667200.

The previous prime is 648521057. The next prime is 648521161. The reversal of 648521100 is 1125846.

648521100 is a `hidden beast` number, since 648 + 5 + 2 + 1 + 10 + 0 = 666.

648521100 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3258801 + ... + 3258999.

It is an arithmetic number, because the mean of its divisors is an integer number (7812000).

Almost surely, 2^648521100 is an apocalyptic number.

648521100 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 648521100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928000).

648521100 is an abundant number, since it is smaller than the sum of its proper divisors (1601334900).

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

648521100 is a wasteful number, since it uses less digits than its factorization.

648521100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 648521100 is about 25466.0774364644. The cubic root of 648521100 is about 865.5816418394.

Adding to 648521100 its reverse (1125846), we get a palindrome (649646946).

The spelling of 648521100 in words is "six hundred forty-eight million, five hundred twenty-one thousand, one hundred".