649116 has 72 divisors (see below), whose sum is σ = 1885520. Its totient is φ = 186624.

The previous prime is 649093. The next prime is 649123. The reversal of 649116 is 611946.

649116 is a `hidden beast` number, since 649 + 1 + 16 = 666.

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 649116.

It is a congruent number.

It is an unprimeable number.

649116 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 23 ways as a sum of consecutive naturals, for example, 8856 + ... + 8928.

2⁶⁴⁹¹¹⁶ 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 649116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942760).

649116 is an abundant number, since it is smaller than the sum of its proper divisors (1236404).

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

649116 is a wasteful number, since it uses less digits than its factorization.

649116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 110 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 649116 is about 805.6773547767. The cubic root of 649116 is about 86.5846232123.

It can be divided in two parts, 64 and 9116, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 649116 in words is "six hundred forty-nine thousand, one hundred sixteen".