1585342656 has 42 divisors (see below), whose sum is σ = 4544100132. Its totient is φ = 528447360.

The previous prime is 1585342639. The next prime is 1585342721. The reversal of 1585342656 is 6562435851.

1585342656 is a `hidden beast` number, since 1 + 58 + 534 + 2 + 65 + 6 = 666.

1585342656 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1585342656² = 5026622673866268672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1375590 + ... + 1376741.

Almost surely, 2^1585342656 is an apocalyptic number.

1585342656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1585342656 is an abundant number, since it is smaller than the sum of its proper divisors (2958757476).

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

1585342656 is a wasteful number, since it uses less digits than its factorization.

1585342656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752349 (or 2752336 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 1585342656 is about 39816.3616620103. The cubic root of 1585342656 is about 1166.0246055531.

The spelling of 1585342656 in words is "one billion, five hundred eighty-five million, three hundred forty-two thousand, six hundred fifty-six".