1905669090 has 96 divisors (see below), whose sum is σ = 5480210736. Its totient is φ = 456399360.

The previous prime is 1905669089. The next prime is 1905669091. The reversal of 1905669090 is 909665091.

1905669090 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1905669089) and next prime (1905669091).

It can be written as a sum of positive squares in 8 ways, for example, as 793379889 + 1112289201 = 28167^2 + 33351^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1905669091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21280 + ... + 65300.

Almost surely, 2^1905669090 is an apocalyptic number.

1905669090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1905669090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740105368).

1905669090 is an abundant number, since it is smaller than the sum of its proper divisors (3574541646).

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

1905669090 is a wasteful number, since it uses less digits than its factorization.

1905669090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44084 (or 44081 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 1905669090 is about 43653.9699225626. The cubic root of 1905669090 is about 1239.7929523364.

The spelling of 1905669090 in words is "one billion, nine hundred five million, six hundred sixty-nine thousand, ninety".