649080 has 64 divisors (see below), whose sum is σ = 2167200. Its totient is φ = 172800.

The previous prime is 649079. The next prime is 649081. The reversal of 649080 is 80946.

It is an interprime number because it is at equal distance from previous prime (649079) and next prime (649081).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780 + ... + 1380.

2⁶⁴⁹⁰⁸⁰ is an apocalyptic number.

649080 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 649080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083600).

649080 is an abundant number, since it is smaller than the sum of its proper divisors (1518120).

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

649080 is a wasteful number, since it uses less digits than its factorization.

649080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 611 counting only the distinct ones).

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

The square root of 649080 is about 805.6550130174. The cubic root of 649080 is about 86.5830225205.

The spelling of 649080 in words is "six hundred forty-nine thousand, eighty".