649296 has 60 divisors (see below), whose sum is σ = 1895712. Its totient is φ = 215136.

The previous prime is 649291. The next prime is 649307. The reversal of 649296 is 692946.

649296 is a `hidden beast` number, since 649 + 2 + 9 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 649296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649291) by changing a digit.

649296 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 11 ways as a sum of consecutive naturals, for example, 3805 + ... + 3971.

2⁶⁴⁹²⁹⁶ 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 649296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947856).

649296 is an abundant number, since it is smaller than the sum of its proper divisors (1246416).

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

649296 is a wasteful number, since it uses less digits than its factorization.

649296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 649296 is about 805.7890542816. The cubic root of 649296 is about 86.5926257839.

The spelling of 649296 in words is "six hundred forty-nine thousand, two hundred ninety-six".