1670090880 has 256 divisors, whose sum is σ = 5935420800. Its totient is φ = 396951552.

The previous prime is 1670090839. The next prime is 1670090911. The reversal of 1670090880 is 880900761.

1670090880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618814 + ... + 621506.

Almost surely, 2^1670090880 is an apocalyptic number.

1670090880 is a gapful number since it is divisible by the number (10) 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 1670090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967710400).

1670090880 is an abundant number, since it is smaller than the sum of its proper divisors (4265329920).

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

1670090880 is a wasteful number, since it uses less digits than its factorization.

1670090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1670090880 is about 40866.7454050356. The cubic root of 1670090880 is about 1186.4425168235.

The spelling of 1670090880 in words is "one billion, six hundred seventy million, ninety thousand, eight hundred eighty".