1099361920 has 64 divisors (see below), whose sum is σ = 2637946440. Its totient is φ = 438108160.

The previous prime is 1099361891. The next prime is 1099361953. The reversal of 1099361920 is 291639901.

It can be written as a sum of positive squares in 4 ways, for example, as 971942976 + 127418944 = 31176^2 + 11288^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1099361920² = 2417193262292172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176784 + ... + 182896.

Almost surely, 2^1099361920 is an apocalyptic number.

1099361920 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 1099361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318973220).

1099361920 is an abundant number, since it is smaller than the sum of its proper divisors (1538584520).

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

1099361920 is an equidigital number, since it uses as much as digits as its factorization.

1099361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6413 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

The square root of 1099361920 is about 33156.6270902213. The cubic root of 1099361920 is about 1032.0804776693.

The spelling of 1099361920 in words is "one billion, ninety-nine million, three hundred sixty-one thousand, nine hundred twenty".