2087568 has 120 divisors (see below), whose sum is σ = 7092800. Its totient is φ = 559872.

The previous prime is 2087563. The next prime is 2087593. The reversal of 2087568 is 8657802.

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

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2087563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19098 + ... + 19206.

2^2087568 is an apocalyptic number.

2087568 is a gapful number since it is divisible by the number (28) 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 2087568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546400).

2087568 is an abundant number, since it is smaller than the sum of its proper divisors (5005232).

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

2087568 is a wasteful number, since it uses less digits than its factorization.

2087568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2087568 is about 1444.8418598587. The cubic root of 2087568 is about 127.8047152338.

It can be divided in two parts, 208 and 7568, that added together give a 5-th power (7776 = 6⁵).

The spelling of 2087568 in words is "two million, eighty-seven thousand, five hundred sixty-eight".