648574080 has 512 divisors, whose sum is σ = 2664990720. Its totient is φ = 130252800.

The previous prime is 648574049. The next prime is 648574093. The reversal of 648574080 is 80475846.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6061387 + ... + 6061493.

It is an arithmetic number, because the mean of its divisors is an integer number (5205060).

Almost surely, 2^648574080 is an apocalyptic number.

648574080 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 648574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332495360).

648574080 is an abundant number, since it is smaller than the sum of its proper divisors (2016416640).

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

648574080 is a wasteful number, since it uses less digits than its factorization.

648574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 648574080 is about 25467.1176225344. The cubic root of 648574080 is about 865.6052120140.

The spelling of 648574080 in words is "six hundred forty-eight million, five hundred seventy-four thousand, eighty".