1670859840 has 224 divisors, whose sum is σ = 5962473216. Its totient is φ = 393338880.

The previous prime is 1670859833. The next prime is 1670859859. The reversal of 1670859840 is 489580761.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1670859840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284130 + ... + 289950.

It is an arithmetic number, because the mean of its divisors is an integer number (26618184).

Almost surely, 2^1670859840 is an apocalyptic number.

1670859840 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 1670859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981236608).

1670859840 is an abundant number, since it is smaller than the sum of its proper divisors (4291613376).

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

1670859840 is a wasteful number, since it uses less digits than its factorization.

1670859840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 1670859840 is about 40876.1524608175. The cubic root of 1670859840 is about 1186.6245801399.

The spelling of 1670859840 in words is "one billion, six hundred seventy million, eight hundred fifty-nine thousand, eight hundred forty".