1089360720 has 240 divisors, whose sum is σ = 4200124032. Its totient is φ = 247864320.

The previous prime is 1089360703. The next prime is 1089360737. The reversal of 1089360720 is 270639801.

It is an interprime number because it is at equal distance from previous prime (1089360703) and next prime (1089360737).

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

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1667914 + ... + 1668566.

Almost surely, 2^1089360720 is an apocalyptic number.

1089360720 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 1089360720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100062016).

1089360720 is an abundant number, since it is smaller than the sum of its proper divisors (3110763312).

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

1089360720 is a wasteful number, since it uses less digits than its factorization.

1089360720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1089360720 is about 33005.4650020266. The cubic root of 1089360720 is about 1028.9412314466.

The spelling of 1089360720 in words is "one billion, eighty-nine million, three hundred sixty thousand, seven hundred twenty".