1090916640 has 288 divisors, whose sum is σ = 4198884480. Its totient is φ = 264337920.

The previous prime is 1090916623. The next prime is 1090916641. The reversal of 1090916640 is 466190901.

1090916640 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 9 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1090916595 and 1090916604.

It is not an unprimeable number, because it can be changed into a prime (1090916641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521677 + ... + 523763.

It is an arithmetic number, because the mean of its divisors is an integer number (14579460).

Almost surely, 2^1090916640 is an apocalyptic number.

1090916640 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 1090916640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099442240).

1090916640 is an abundant number, since it is smaller than the sum of its proper divisors (3107967840).

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

1090916640 is a wasteful number, since it uses less digits than its factorization.

1090916640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1090916640 is about 33029.0272336319. The cubic root of 1090916640 is about 1029.4308729431.

The spelling of 1090916640 in words is "one billion, ninety million, nine hundred sixteen thousand, six hundred forty".