649791000 has 384 divisors, whose sum is σ = 2418024960. Its totient is φ = 156672000.

The previous prime is 649790989. The next prime is 649791011. The reversal of 649791000 is 197946.

649791000 is a `hidden beast` number, since 649 + 7 + 9 + 1 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (649790989) and next prime (649791011).

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

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 95 ways as a sum of consecutive naturals, for example, 4742932 + ... + 4743068.

It is an arithmetic number, because the mean of its divisors is an integer number (6296940).

Almost surely, 2^649791000 is an apocalyptic number.

649791000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649791000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209012480).

649791000 is an abundant number, since it is smaller than the sum of its proper divisors (1768233960).

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

649791000 is a wasteful number, since it uses less digits than its factorization.

649791000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 649791000 is about 25490.9984112039. The cubic root of 649791000 is about 866.1462523252.

The spelling of 649791000 in words is "six hundred forty-nine million, seven hundred ninety-one thousand".