1090121760 has 768 divisors, whose sum is σ = 4877107200. Its totient is φ = 221294592.

The previous prime is 1090121749. The next prime is 1090121779. The reversal of 1090121760 is 671210901.

1090121760 = T₃₇₁ + T₃₇₂ + ... + T₁₈₇₄.

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 127 ways as a sum of consecutive naturals, for example, 18476611 + ... + 18476669.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2^1090121760 is an apocalyptic number.

1090121760 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 1090121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438553600).

1090121760 is an abundant number, since it is smaller than the sum of its proper divisors (3786985440).

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

1090121760 is a wasteful number, since it uses less digits than its factorization.

1090121760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1090121760 is about 33016.9919889744. The cubic root of 1090121760 is about 1029.1807857523.

The spelling of 1090121760 in words is "one billion, ninety million, one hundred twenty-one thousand, seven hundred sixty".