1090960000 has 160 divisors (see below), whose sum is σ = 2927578500. Its totient is φ = 402432000.

The previous prime is 1090959983. The next prime is 1090960001. The reversal of 1090960000 is 690901.

It can be written as a sum of positive squares in 10 ways, for example, as 62346816 + 1028613184 = 7896^2 + 32072^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1090960001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1039476 + ... + 1040524.

Almost surely, 2^1090960000 is an apocalyptic number.

1090960000 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 1090960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463789250).

1090960000 is an abundant number, since it is smaller than the sum of its proper divisors (1836618500).

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

1090960000 is an equidigital number, since it uses as much as digits as its factorization.

1090960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 1090960000 is about 33029.6836194354. The cubic root of 1090960000 is about 1029.4445114833. Note that the first 3 decimals are identical.

The spelling of 1090960000 in words is "one billion, ninety million, nine hundred sixty thousand".