1908864 has 48 divisors (see below), whose sum is σ = 5496270. Its totient is φ = 635904.

The previous prime is 1908857. The next prime is 1908869. The reversal of 1908864 is 4688091.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1742400 + 166464 = 1320^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (1908869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 324 + ... + 1980.

2^1908864 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 1908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748135).

1908864 is an abundant number, since it is smaller than the sum of its proper divisors (3587406).

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

1908864 is a wasteful number, since it uses less digits than its factorization.

1908864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1908864 is about 1381.6164446039. The cubic root of 1908864 is about 124.0485415225.

It can be divided in two parts, 1908 and 864, that added together give a palindrome (2772).

The spelling of 1908864 in words is "one million, nine hundred eight thousand, eight hundred sixty-four".