1670111856 has 480 divisors, whose sum is σ = 6066278400. Its totient is φ = 418037760.

The previous prime is 1670111803. The next prime is 1670111921. The reversal of 1670111856 is 6581110761.

It is a super-2 number, since 2×1670111856² = 5578547223103529472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1670111856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17217600 + ... + 17217696.

It is an arithmetic number, because the mean of its divisors is an integer number (12638080).

Almost surely, 2^1670111856 is an apocalyptic number.

1670111856 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 1670111856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033139200).

1670111856 is an abundant number, since it is smaller than the sum of its proper divisors (4396166544).

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

1670111856 is a wasteful number, since it uses less digits than its factorization.

1670111856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 1670111856 is about 40867.0020432133. The cubic root of 1670111856 is about 1186.4474839612.

It can be divided in two parts, 1670 and 111856, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 1670111856 in words is "one billion, six hundred seventy million, one hundred eleven thousand, eight hundred fifty-six".