1670785920 has 256 divisors, whose sum is σ = 6110208000. Its totient is φ = 431032320.

The previous prime is 1670785877. The next prime is 1670785937. The reversal of 1670785920 is 295870761.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 534121 + ... + 537239.

It is an arithmetic number, because the mean of its divisors is an integer number (23868000).

Almost surely, 2^1670785920 is an apocalyptic number.

1670785920 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 1670785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055104000).

1670785920 is an abundant number, since it is smaller than the sum of its proper divisors (4439422080).

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

1670785920 is a wasteful number, since it uses less digits than its factorization.

1670785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1670785920 is about 40875.2482561268. The cubic root of 1670785920 is about 1186.6070808499.

The spelling of 1670785920 in words is "one billion, six hundred seventy million, seven hundred eighty-five thousand, nine hundred twenty".