649175040 has 224 divisors, whose sum is σ = 2311968960. Its totient is φ = 172818432.

The previous prime is 649175029. The next prime is 649175083. The reversal of 649175040 is 40571946.

649175040 is a `hidden beast` number, since 64 + 91 + 7 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 649174986 and 649175004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105627 + ... + 1106213.

It is an arithmetic number, because the mean of its divisors is an integer number (10321290).

Almost surely, 2^649175040 is an apocalyptic number.

649175040 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 649175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155984480).

649175040 is an abundant number, since it is smaller than the sum of its proper divisors (1662793920).

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

649175040 is an equidigital number, since it uses as much as digits as its factorization.

649175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 649175040 is about 25478.9136346117. The cubic root of 649175040 is about 865.8724821885.

The spelling of 649175040 in words is "six hundred forty-nine million, one hundred seventy-five thousand, forty".