1670086656 has 192 divisors, whose sum is σ = 5520668400. Its totient is φ = 476577792.

The previous prime is 1670086601. The next prime is 1670086667. The reversal of 1670086656 is 6566800761.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2063980 + ... + 2064788.

Almost surely, 2^1670086656 is an apocalyptic number.

1670086656 is a gapful number since it is divisible by the number (16) 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 1670086656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760334200).

1670086656 is an abundant number, since it is smaller than the sum of its proper divisors (3850581744).

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

1670086656 is an frugal number, since it uses more digits than its factorization.

1670086656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1670086656 is about 40866.6937248415. The cubic root of 1670086656 is about 1186.4415165711.

The spelling of 1670086656 in words is "one billion, six hundred seventy million, eighty-six thousand, six hundred fifty-six".