2167560 has 96 divisors (see below), whose sum is σ = 7338240. Its totient is φ = 575424.

The previous prime is 2167549. The next prime is 2167573. The reversal of 2167560 is 657612.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9609 + ... + 9831.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

2^2167560 is an apocalyptic number.

2167560 is a gapful number since it is divisible by the number (20) 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 2167560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669120).

2167560 is an abundant number, since it is smaller than the sum of its proper divisors (5170680).

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

2167560 is a wasteful number, since it uses less digits than its factorization.

2167560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2167560 is about 1472.2635633609. The cubic root of 2167560 is about 129.4167162260.

It can be divided in two parts, 216 and 7560, that added together give a 5-th power (7776 = 6⁵).

The spelling of 2167560 in words is "two million, one hundred sixty-seven thousand, five hundred sixty".