648406080 has 448 divisors, whose sum is σ = 2668584960. Its totient is φ = 145152000.

The previous prime is 648406051. The next prime is 648406127. The reversal of 648406080 is 80604846.

648406080 is a `hidden beast` number, since 6 + 4 + 8 + 40 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4294005 + ... + 4294155.

Almost surely, 2^648406080 is an apocalyptic number.

648406080 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 648406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334292480).

648406080 is an abundant number, since it is smaller than the sum of its proper divisors (2020178880).

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

648406080 is a wasteful number, since it uses less digits than its factorization.

648406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 648406080 is about 25463.8190379998. The cubic root of 648406080 is about 865.5304663846.

The spelling of 648406080 in words is "six hundred forty-eight million, four hundred six thousand, eighty".