1098144 has 96 divisors (see below), whose sum is σ = 3386880. Its totient is φ = 345600.

The previous prime is 1098133. The next prime is 1098151. The reversal of 1098144 is 4418901.

1098144 = 173² + 174² + ... + 203².

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26764 + ... + 26804.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2^1098144 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 1098144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693440).

1098144 is an abundant number, since it is smaller than the sum of its proper divisors (2288736).

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

1098144 is a wasteful number, since it uses less digits than its factorization.

1098144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1098144 is about 1047.9236613418. The cubic root of 1098144 is about 103.1699209256.

It can be divided in two parts, 10981 and 44, that added together give a square (11025 = 105²).

The spelling of 1098144 in words is "one million, ninety-eight thousand, one hundred forty-four".