1896800 has 36 divisors (see below), whose sum is σ = 4632516. Its totient is φ = 758400.

The previous prime is 1896781. The next prime is 1896823. The reversal of 1896800 is 86981.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 386 + ... + 1985.

It is an arithmetic number, because the mean of its divisors is an integer number (128681).

2^1896800 is an apocalyptic number.

1896800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1896800 is an abundant number, since it is smaller than the sum of its proper divisors (2735716).

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

1896800 is a wasteful number, since it uses less digits than its factorization.

1896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 1896800 is about 1377.2436240549. The cubic root of 1896800 is about 123.7866605664.

It can be divided in two parts, 18 and 96800, that multiplied together give a square (1742400 = 1320²).

The spelling of 1896800 in words is "one million, eight hundred ninety-six thousand, eight hundred".