648909846 has 128 divisors (see below), whose sum is σ = 1606832640. Its totient is φ = 192875904.

The previous prime is 648909841. The next prime is 648909857.

648909846 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 648909792 and 648909801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648909841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3980961 + ... + 3981123.

It is an arithmetic number, because the mean of its divisors is an integer number (12553380).

Almost surely, 2^648909846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648909846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803416320).

648909846 is an abundant number, since it is smaller than the sum of its proper divisors (957922794).

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

648909846 is a wasteful number, since it uses less digits than its factorization.

648909846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 648909846 is about 25473.7089172346. The cubic root of 648909846 is about 865.7545604941.

The spelling of 648909846 in words is "six hundred forty-eight million, nine hundred nine thousand, eight hundred forty-six".