1089461520 has 480 divisors, whose sum is σ = 4555898880. Its totient is φ = 227681280.

The previous prime is 1089461497. The next prime is 1089461521. The reversal of 1089461520 is 251649801.

1089461520 is a `hidden beast` number, since 10 + 8 + 9 + 4 + 615 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1089461521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2968377 + ... + 2968743.

It is an arithmetic number, because the mean of its divisors is an integer number (9491456).

Almost surely, 2^1089461520 is an apocalyptic number.

1089461520 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 1089461520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277949440).

1089461520 is an abundant number, since it is smaller than the sum of its proper divisors (3466437360).

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

1089461520 is a wasteful number, since it uses less digits than its factorization.

1089461520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1089461520 is about 33006.9919865473. The cubic root of 1089461520 is about 1028.9729669025.

The spelling of 1089461520 in words is "one billion, eighty-nine million, four hundred sixty-one thousand, five hundred twenty".