1585699416 has 192 divisors, whose sum is σ = 5358662400. Its totient is φ = 429141888.

The previous prime is 1585699391. The next prime is 1585699457. The reversal of 1585699416 is 6149965851.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255486 + ... + 261618.

It is an arithmetic number, because the mean of its divisors is an integer number (27909700).

Almost surely, 2^1585699416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1585699416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679331200).

1585699416 is an abundant number, since it is smaller than the sum of its proper divisors (3772962984).

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

1585699416 is a wasteful number, since it uses less digits than its factorization.

1585699416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6180 (or 6164 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 1585699416 is about 39820.8414777990. The cubic root of 1585699416 is about 1166.1120650342.

The spelling of 1585699416 in words is "one billion, five hundred eighty-five million, six hundred ninety-nine thousand, four hundred sixteen".