1585228090 has 16 divisors (see below), whose sum is σ = 2945456640. Its totient is φ = 613636560.

The previous prime is 1585228033. The next prime is 1585228091. The reversal of 1585228090 is 908225851.

It is not an unprimeable number, because it can be changed into a prime (1585228091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2556510 + ... + 2557129.

It is an arithmetic number, because the mean of its divisors is an integer number (184091040).

Almost surely, 2^1585228090 is an apocalyptic number.

1585228090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1585228090 is a deficient number, since it is larger than the sum of its proper divisors (1360228550).

1585228090 is a wasteful number, since it uses less digits than its factorization.

1585228090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113677.

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 1585228090 is about 39814.9229560978. The cubic root of 1585228090 is about 1165.9965169898.

The spelling of 1585228090 in words is "one billion, five hundred eighty-five million, two hundred twenty-eight thousand, ninety".