916640 has 48 divisors (see below), whose sum is σ = 2299752. Its totient is φ = 344064.

The previous prime is 916633. The next prime is 916649. The reversal of 916640 is 46619.

916640 = T₂₁₅ + T₂₁₆ + ... + T₂₄₈.

It can be written as a sum of positive squares in 4 ways, for example, as 753424 + 163216 = 868^2 + 404^2 .

It is not an unprimeable number, because it can be changed into a prime (916649) 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, 2552 + ... + 2888.

2⁹¹⁶⁶⁴⁰ 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 916640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149876).

916640 is an abundant number, since it is smaller than the sum of its proper divisors (1383112).

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

916640 is a wasteful number, since it uses less digits than its factorization.

916640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 916640 is about 957.4131814426. The cubic root of 916640 is about 97.1403360690.

The spelling of 916640 in words is "nine hundred sixteen thousand, six hundred forty".