649291104 has 576 divisors, whose sum is σ = 2566287360. Its totient is φ = 150543360.

The previous prime is 649291043. The next prime is 649291109. The reversal of 649291104 is 401192946.

It is a happy number.

649291104 is a `hidden beast` number, since 649 + 2 + 9 + 1 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649291109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9690879 + ... + 9690945.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 2^649291104 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 649291104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283143680).

649291104 is an abundant number, since it is smaller than the sum of its proper divisors (1916996256).

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

649291104 is a wasteful number, since it uses less digits than its factorization.

649291104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 649291104 is about 25481.1911809476. The cubic root of 649291104 is about 865.9240813357.

The spelling of 649291104 in words is "six hundred forty-nine million, two hundred ninety-one thousand, one hundred four".