648606000 has 160 divisors (see below), whose sum is σ = 2389989888. Its totient is φ = 148243200.

The previous prime is 648605987. The next prime is 648606017. The reversal of 648606000 is 606846.

It is a happy number.

648606000 is digitally balanced in base 6, 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 (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34279 + ... + 49721.

Almost surely, 2^648606000 is an apocalyptic number.

648606000 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 648606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194994944).

648606000 is an abundant number, since it is smaller than the sum of its proper divisors (1741383888).

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

648606000 is a wasteful number, since it uses less digits than its factorization.

648606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15476 (or 15460 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 648606000 is about 25467.7443052972. The cubic root of 648606000 is about 865.6194122244.

The spelling of 648606000 in words is "six hundred forty-eight million, six hundred six thousand".