649585272 has 64 divisors (see below), whose sum is σ = 1866412800. Its totient is φ = 184550400.

The previous prime is 649585271. The next prime is 649585273. The reversal of 649585272 is 272585946.

It is an interprime number because it is at equal distance from previous prime (649585271) and next prime (649585273).

It is a super-2 number, since 2×649585272² = 843922051198627968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649585271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19272 + ... + 40872.

It is an arithmetic number, because the mean of its divisors is an integer number (29162700).

Almost surely, 2^649585272 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 649585272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933206400).

649585272 is an abundant number, since it is smaller than the sum of its proper divisors (1216827528).

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

649585272 is a wasteful number, since it uses less digits than its factorization.

649585272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21796 (or 21792 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 649585272 is about 25486.9627849220. The cubic root of 649585272 is about 866.0548335229.

The spelling of 649585272 in words is "six hundred forty-nine million, five hundred eighty-five thousand, two hundred seventy-two".