1896 has 16 divisors (see below), whose sum is σ = 4800. Its totient is φ = 624.

The previous prime is 1889. The next prime is 1901. The reversal of 1896 is 6981.

1896 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 79 = 1896 / (1 + 8 + 9 + 6).

It is an alternating number because its digits alternate between odd and even.

1896 is an undulating number in base 13.

It is a nialpdrome in base 14 and base 15.

It is an unprimeable number.

1896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16 + ... + 63.

It is an arithmetic number, because the mean of its divisors is an integer number (300).

2¹⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

1896 is an abundant number, since it is smaller than the sum of its proper divisors (2904).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400).

1896 is a wasteful number, since it uses less digits than its factorization.

1896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 84 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 1896 is about 43.5430821142. The cubic root of 1896 is about 12.3769255243.

It can be divided in two parts, 18 and 96, that multiplied together give a cube (1728 = 12³).

The spelling of 1896 in words is "one thousand, eight hundred ninety-six".