1090013760 has 280 divisors, whose sum is σ = 4230965376. Its totient is φ = 264176640.

The previous prime is 1090013737. The next prime is 1090013773. The reversal of 1090013760 is 673100901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 283209 + ... + 287031.

Almost surely, 2^1090013760 is an apocalyptic number.

1090013760 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 1090013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115482688).

1090013760 is an abundant number, since it is smaller than the sum of its proper divisors (3140951616).

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

1090013760 is a wasteful number, since it uses less digits than its factorization.

1090013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 1090013760 is about 33015.3564269720. The cubic root of 1090013760 is about 1029.1467971344.

The spelling of 1090013760 in words is "one billion, ninety million, thirteen thousand, seven hundred sixty".