1670590656 has 280 divisors, whose sum is σ = 5959937280. Its totient is φ = 452003328.

The previous prime is 1670590627. The next prime is 1670590657. The reversal of 1670590656 is 6560950761.

1670590656 is a `hidden beast` number, since 1 + 6 + 7 + 0 + 590 + 6 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (1670590657) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 688261 + ... + 690683.

Almost surely, 2^1670590656 is an apocalyptic number.

1670590656 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 1670590656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979968640).

1670590656 is an abundant number, since it is smaller than the sum of its proper divisors (4289346624).

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

1670590656 is a wasteful number, since it uses less digits than its factorization.

1670590656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 1670590656 is about 40872.8596503841. The cubic root of 1670590656 is about 1186.5608529701.

The spelling of 1670590656 in words is "one billion, six hundred seventy million, five hundred ninety thousand, six hundred fifty-six".