649584 has 60 divisors (see below), whose sum is σ = 1963416. Its totient is φ = 199296.

The previous prime is 649577. The next prime is 649613. The reversal of 649584 is 485946.

649584 is a `hidden beast` number, since 649 + 5 + 8 + 4 = 666.

649584 is digitally balanced in base 2, 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 (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 649584.

It is an unprimeable number.

649584 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1699 + ... + 2045.

2⁶⁴⁹⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981708).

649584 is an abundant number, since it is smaller than the sum of its proper divisors (1313832).

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

649584 is a wasteful number, since it uses less digits than its factorization.

649584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 649584 is about 805.9677412899. The cubic root of 649584 is about 86.6054268228.

The spelling of 649584 in words is "six hundred forty-nine thousand, five hundred eighty-four".