1089735120 has 400 divisors, whose sum is σ = 4083488640. Its totient is φ = 268489728.

The previous prime is 1089735083. The next prime is 1089735149. The reversal of 1089735120 is 215379801.

It is a super-2 number, since 2×1089735120² = 2375045263522828800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 6525277 + ... + 6525443.

Almost surely, 2^1089735120 is an apocalyptic number.

1089735120 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 1089735120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041744320).

1089735120 is an abundant number, since it is smaller than the sum of its proper divisors (2993753520).

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

1089735120 is a wasteful number, since it uses less digits than its factorization.

1089735120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1089735120 is about 33011.1363027691. The cubic root of 1089735120 is about 1029.0590961309.

The spelling of 1089735120 in words is "one billion, eighty-nine million, seven hundred thirty-five thousand, one hundred twenty".