1098000 has 120 divisors (see below), whose sum is σ = 3897816. Its totient is φ = 288000.

The previous prime is 1097983. The next prime is 1098017. The reversal of 1098000 is 8901.

It is an interprime number because it is at equal distance from previous prime (1097983) and next prime (1098017).

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 831744 = 516^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 17970 + ... + 18030.

2^1098000 is an apocalyptic number.

1098000 is a gapful number since it is divisible by the number (10) 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 1098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948908).

1098000 is an abundant number, since it is smaller than the sum of its proper divisors (2799816).

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

1098000 is a wasteful number, since it uses less digits than its factorization.

1098000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1098000 is about 1047.8549517944. The cubic root of 1098000 is about 103.1654111594.

The spelling of 1098000 in words is "one million, ninety-eight thousand".