1090644480 has 320 divisors, whose sum is σ = 4006886400. Its totient is φ = 280903680.

The previous prime is 1090644439. The next prime is 1090644481. The reversal of 1090644480 is 844460901.

It is a happy number.

1090644480 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 644 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 (1090644481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2142466 + ... + 2142974.

It is an arithmetic number, because the mean of its divisors is an integer number (12521520).

Almost surely, 2^1090644480 is an apocalyptic number.

1090644480 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 1090644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003443200).

1090644480 is an abundant number, since it is smaller than the sum of its proper divisors (2916241920).

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

1090644480 is an equidigital number, since it uses as much as digits as its factorization.

1090644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1090644480 is about 33024.9069642898. The cubic root of 1090644480 is about 1029.3452589441.

The spelling of 1090644480 in words is "one billion, ninety million, six hundred forty-four thousand, four hundred eighty".