1670408256 has 112 divisors (see below), whose sum is σ = 5075285760. Its totient is φ = 479531520.

The previous prime is 1670408249. The next prime is 1670408273. The reversal of 1670408256 is 6528040761.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19315 + ... + 60941.

Almost surely, 2^1670408256 is an apocalyptic number.

1670408256 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 1670408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537642880).

1670408256 is an abundant number, since it is smaller than the sum of its proper divisors (3404877504).

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

1670408256 is a wasteful number, since it uses less digits than its factorization.

1670408256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41672 (or 41662 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 1670408256 is about 40870.6282799763. The cubic root of 1670408256 is about 1186.5176673308.

The spelling of 1670408256 in words is "one billion, six hundred seventy million, four hundred eight thousand, two hundred fifty-six".