2170864 has 40 divisors (see below), whose sum is σ = 4570640. Its totient is φ = 995328.

The previous prime is 2170829. The next prime is 2170871. The reversal of 2170864 is 4680712.

2170864 = T₂₄₇ + T₂₄₈ + ... + T₃₀₃.

2170864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11152 + ... + 11344.

It is an arithmetic number, because the mean of its divisors is an integer number (114266).

2^2170864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2170864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285320).

2170864 is an abundant number, since it is smaller than the sum of its proper divisors (2399776).

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

2170864 is a wasteful number, since it uses less digits than its factorization.

2170864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2170864 is about 1473.3852177893. The cubic root of 2170864 is about 129.4824392441.

The spelling of 2170864 in words is "two million, one hundred seventy thousand, eight hundred sixty-four".