649800 has 108 divisors (see below), whose sum is σ = 2303145. Its totient is φ = 164160.

The previous prime is 649799. The next prime is 649801. The reversal of 649800 is 8946.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (649799) and next prime (649801).

It can be written as a sum of positive squares in 2 ways, for example, as 636804 + 12996 = 798^2 + 114^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=570.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (649801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34191 + ... + 34209.

2⁶⁴⁹⁸⁰⁰ is an apocalyptic number.

649800 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 649800

649800 is an abundant number, since it is smaller than the sum of its proper divisors (1653345).

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

649800 is a wasteful number, since it uses less digits than its factorization.

649800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 649800 is about 806.1017305527. The cubic root of 649800 is about 86.6150251191.

The spelling of 649800 in words is "six hundred forty-nine thousand, eight hundred".