1087616 has 32 divisors (see below), whose sum is σ = 2249100. Its totient is φ = 523264.

The previous prime is 1087591. The next prime is 1087621. The reversal of 1087616 is 6167801.

It can be written as a sum of positive squares in 2 ways, for example, as 1000000 + 87616 = 1000^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3566 + ... + 3858.

2^1087616 is an apocalyptic number.

1087616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124550).

1087616 is an abundant number, since it is smaller than the sum of its proper divisors (1161484).

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

1087616 is an equidigital number, since it uses as much as digits as its factorization.

1087616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1087616 is about 1042.8882969906. Note that the first 3 decimals coincide. The cubic root of 1087616 is about 102.8391620538.

The spelling of 1087616 in words is "one million, eighty-seven thousand, six hundred sixteen".