1585397120 has 64 divisors (see below), whose sum is σ = 3802906800. Its totient is φ = 632014848.

The previous prime is 1585397117. The next prime is 1585397159. The reversal of 1585397120 is 217935851.

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

It is a congruent number.

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, 192446 + ... + 200514.

Almost surely, 2^1585397120 is an apocalyptic number.

1585397120 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 1585397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901453400).

1585397120 is an abundant number, since it is smaller than the sum of its proper divisors (2217509680).

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

1585397120 is an equidigital number, since it uses as much as digits as its factorization.

1585397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8395 (or 8383 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 41.

The square root of 1585397120 is about 39817.0455960761. The cubic root of 1585397120 is about 1166.0379582158.

The spelling of 1585397120 in words is "one billion, five hundred eighty-five million, three hundred ninety-seven thousand, one hundred twenty".