649290040 has 192 divisors, whose sum is σ = 1830297600. Its totient is φ = 202487040.

The previous prime is 649290011. The next prime is 649290041. The reversal of 649290040 is 40092946.

It is a junction number, because it is equal to n+sod(n) for n = 649289978 and 649290005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649290041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5112457 + ... + 5112583.

It is an arithmetic number, because the mean of its divisors is an integer number (9532800).

Almost surely, 2^649290040 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 649290040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915148800).

649290040 is an abundant number, since it is smaller than the sum of its proper divisors (1181007560).

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

649290040 is a wasteful number, since it uses less digits than its factorization.

649290040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 649290040 is about 25481.1703027942. The cubic root of 649290040 is about 865.9236083358.

The spelling of 649290040 in words is "six hundred forty-nine million, two hundred ninety thousand, forty".