649760 has 48 divisors (see below), whose sum is σ = 1596672. Its totient is φ = 249600.

The previous prime is 649751. The next prime is 649769. The reversal of 649760 is 67946.

649760 = T₆₅ + T₆₆ + ... + T₁₆₀.

It is an interprime number because it is at equal distance from previous prime (649751) and next prime (649769).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (649769) by changing a digit.

649760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4895 + ... + 5025.

It is an arithmetic number, because the mean of its divisors is an integer number (33264).

2⁶⁴⁹⁷⁶⁰ 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 649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336).

649760 is an abundant number, since it is smaller than the sum of its proper divisors (946912).

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

649760 is a wasteful number, since it uses less digits than its factorization.

649760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 649760 is about 806.0769194066. The cubic root of 649760 is about 86.6132478173.

The spelling of 649760 in words is "six hundred forty-nine thousand, seven hundred sixty".