649879040 has 160 divisors (see below), whose sum is σ = 1697034240. Its totient is φ = 237772800.

The previous prime is 649879039. The next prime is 649879051. The reversal of 649879040 is 40978946.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1507625 + ... + 1508055.

It is an arithmetic number, because the mean of its divisors is an integer number (10606464).

Almost surely, 2^649879040 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 649879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848517120).

649879040 is an abundant number, since it is smaller than the sum of its proper divisors (1047155200).

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

649879040 is a wasteful number, since it uses less digits than its factorization.

649879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 649879040 is about 25492.7252368200. The cubic root of 649879040 is about 866.1853685294.

The spelling of 649879040 in words is "six hundred forty-nine million, eight hundred seventy-nine thousand, forty".