1098960 has 80 divisors (see below), whose sum is σ = 3600960. Its totient is φ = 276480.

The previous prime is 1098953. The next prime is 1098967. The reversal of 1098960 is 698901.

1098960 = 57² + 58² + ... + 151².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1098953) and next prime (1098967).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098967) by changing a digit.

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, 4440 + ... + 4680.

It is an arithmetic number, because the mean of its divisors is an integer number (45012).

2^1098960 is an apocalyptic number.

1098960 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 1098960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800480).

1098960 is an abundant number, since it is smaller than the sum of its proper divisors (2502000).

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

1098960 is a wasteful number, since it uses less digits than its factorization.

1098960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1098960 is about 1048.3129303791. The cubic root of 1098960 is about 103.1954688233.

The spelling of 1098960 in words is "one million, ninety-eight thousand, nine hundred sixty".