1098057240 has 384 divisors, whose sum is σ = 4255580160. Its totient is φ = 240371712.

The previous prime is 1098057227. The next prime is 1098057241. The reversal of 1098057240 is 427508901.

1098057240 is a `hidden beast` number, since 1 + 0 + 9 + 80 + 572 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1098057195 and 1098057204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098057241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8646057 + ... + 8646183.

It is an arithmetic number, because the mean of its divisors is an integer number (11082240).

Almost surely, 2^1098057240 is an apocalyptic number.

1098057240 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 1098057240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127790080).

1098057240 is an abundant number, since it is smaller than the sum of its proper divisors (3157522920).

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

1098057240 is a wasteful number, since it uses less digits than its factorization.

1098057240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1098057240 is about 33136.9467513228. The cubic root of 1098057240 is about 1031.6720383870.

The spelling of 1098057240 in words is "one billion, ninety-eight million, fifty-seven thousand, two hundred forty".