648083520 has 672 divisors, whose sum is σ = 2830104576. Its totient is φ = 132710400.

The previous prime is 648083497. The next prime is 648083533. The reversal of 648083520 is 25380846.

648083520 is a `hidden beast` number, since 648 + 0 + 8 + 3 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 10624290 + ... + 10624350.

Almost surely, 2^648083520 is an apocalyptic number.

648083520 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 648083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415052288).

648083520 is an abundant number, since it is smaller than the sum of its proper divisors (2182021056).

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

648083520 is a wasteful number, since it uses less digits than its factorization.

648083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 648083520 is about 25457.4845575913. The cubic root of 648083520 is about 865.3869185762.

It can be divided in two parts, 6480 and 83520, that added together give a square (90000 = 300²).

The spelling of 648083520 in words is "six hundred forty-eight million, eighty-three thousand, five hundred twenty".