1667088 has 80 divisors (see below), whose sum is σ = 5088960. Its totient is φ = 520704.

The previous prime is 1667077. The next prime is 1667131. The reversal of 1667088 is 8807661.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7231 + ... + 7457.

It is an arithmetic number, because the mean of its divisors is an integer number (63612).

2^1667088 is an apocalyptic number.

1667088 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 1667088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544480).

1667088 is an abundant number, since it is smaller than the sum of its proper divisors (3421872).

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

1667088 is a wasteful number, since it uses less digits than its factorization.

1667088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

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

The square root of 1667088 is about 1291.1576201223. The cubic root of 1667088 is about 118.5731002260.

The spelling of 1667088 in words is "one million, six hundred sixty-seven thousand, eighty-eight".