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996688 = 24711809
BaseRepresentation
bin11110011010101010000
31212122012101
43303111100
5223343223
633210144
711320540
oct3632520
91778171
10996688
11620910
12400954
1328b874
141bd320
1514a4ad
hexf3550

996688 has 40 divisors (see below), whose sum is σ = 2410560. Its totient is φ = 387840.

The previous prime is 996649. The next prime is 996689. The reversal of 996688 is 886699.

It is a happy number.

996688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996689) by changing a digit.

996688 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 7 ways as a sum of consecutive naturals, for example, 828 + ... + 1636.

It is an arithmetic number, because the mean of its divisors is an integer number (60264).

2996688 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 996688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205280).

996688 is an abundant number, since it is smaller than the sum of its proper divisors (1413872).

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

996688 is a wasteful number, since it uses less digits than its factorization.

996688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The square root of 996688 is about 998.3426265566. The cubic root of 996688 is about 99.8894778936.

The spelling of 996688 in words is "nine hundred ninety-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 809 1232 1618 3236 5663 6472 8899 11326 12944 17798 22652 35596 45304 62293 71192 90608 124586 142384 249172 498344 996688