1098735840 has 240 divisors, whose sum is σ = 4106540592. Its totient is φ = 275705856.

The previous prime is 1098735811. The next prime is 1098735853. The reversal of 1098735840 is 485378901.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1098735840² = 2414440892201011200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 217827 + ... + 222813.

Almost surely, 2^1098735840 is an apocalyptic number.

1098735840 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 1098735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053270296).

1098735840 is an abundant number, since it is smaller than the sum of its proper divisors (3007804752).

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

1098735840 is a wasteful number, since it uses less digits than its factorization.

1098735840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1098735840 is about 33147.1844958211. The cubic root of 1098735840 is about 1031.8845192577.

The spelling of 1098735840 in words is "one billion, ninety-eight million, seven hundred thirty-five thousand, eight hundred forty".