649968 has 40 divisors (see below), whose sum is σ = 1833216. Its totient is φ = 196800.

The previous prime is 649937. The next prime is 649969. The reversal of 649968 is 869946.

649968 = T₂₇₇ + T₂₇₈ + ... + T₂₉₂.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 649968.

It is not an unprimeable number, because it can be changed into a prime (649969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88 + ... + 1143.

2⁶⁴⁹⁹⁶⁸ 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 649968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916608).

649968 is an abundant number, since it is smaller than the sum of its proper divisors (1183248).

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

649968 is a wasteful number, since it uses less digits than its factorization.

649968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1247 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 649968 is about 806.2059290281. The cubic root of 649968 is about 86.6224889902.

The spelling of 649968 in words is "six hundred forty-nine thousand, nine hundred sixty-eight".