1087668 has 42 divisors (see below), whose sum is σ = 2861474. Its totient is φ = 361584.

The previous prime is 1087663. The next prime is 1087673. The reversal of 1087668 is 8667801.

It is an interprime number because it is at equal distance from previous prime (1087663) and next prime (1087673).

It can be written as a sum of positive squares in only one way, i.e., 944784 + 142884 = 972^2 + 378^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087663) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2730 + ... + 3102.

2^1087668 is an apocalyptic number.

1087668 is a gapful number since it is divisible by the number (18) 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 1087668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430737).

1087668 is an abundant number, since it is smaller than the sum of its proper divisors (1773806).

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

1087668 is an equidigital number, since it uses as much as digits as its factorization.

1087668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1087668 is about 1042.9132274547. The cubic root of 1087668 is about 102.8408009752.

It can be divided in two parts, 108 and 7668, that added together give a 5-th power (7776 = 6⁵).

The spelling of 1087668 in words is "one million, eighty-seven thousand, six hundred sixty-eight".