649377000 has 160 divisors (see below), whose sum is σ = 2270216520. Its totient is φ = 173145600.

The previous prime is 649376953. The next prime is 649377037. The reversal of 649377000 is 773946.

649377000 is a `hidden beast` number, since 649 + 3 + 7 + 7 + 0 + 0 + 0 = 666.

649377000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 214153956 + 435223044 = 14634^2 + 20862^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76992 + ... + 85008.

Almost surely, 2^649377000 is an apocalyptic number.

649377000 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 649377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135108260).

649377000 is an abundant number, since it is smaller than the sum of its proper divisors (1620839520).

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

649377000 is a wasteful number, since it uses less digits than its factorization.

649377000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8050 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 649377000 is about 25482.8766037118. The cubic root of 649377000 is about 865.9622645865.

The spelling of 649377000 in words is "six hundred forty-nine million, three hundred seventy-seven thousand".