649516896 has 144 divisors (see below), whose sum is σ = 2122848000. Its totient is φ = 184529664.

The previous prime is 649516891. The next prime is 649516897. The reversal of 649516896 is 698615946.

It is a happy number.

649516896 is a `hidden beast` number, since 6 + 49 + 516 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649516891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400375 + ... + 401993.

It is an arithmetic number, because the mean of its divisors is an integer number (14742000).

Almost surely, 2^649516896 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 649516896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061424000).

649516896 is an abundant number, since it is smaller than the sum of its proper divisors (1473331104).

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

649516896 is a wasteful number, since it uses less digits than its factorization.

649516896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1830 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 649516896 is about 25485.6213579344. The cubic root of 649516896 is about 866.0244451886.

The spelling of 649516896 in words is "six hundred forty-nine million, five hundred sixteen thousand, eight hundred ninety-six".