1876896 has 144 divisors (see below), whose sum is σ = 6552000. Its totient is φ = 508032.

The previous prime is 1876859. The next prime is 1876949. The reversal of 1876896 is 6986781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (145152) is a multiple of the sum of its prime factors (56).

It is a nialpdrome in base 12.

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, 98775 + ... + 98793.

It is an arithmetic number, because the mean of its divisors is an integer number (45500).

2^1876896 is an apocalyptic number.

1876896 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 1876896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276000).

1876896 is an abundant number, since it is smaller than the sum of its proper divisors (4675104).

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

1876896 is a wasteful number, since it uses less digits than its factorization.

1876896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 31 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1876896 is about 1369.9985401452. The cubic root of 1876896 is about 123.3521536087.

It can be divided in two parts, 1876 and 896, that added together give a palindrome (2772).

The spelling of 1876896 in words is "one million, eight hundred seventy-six thousand, eight hundred ninety-six".