1896160 has 48 divisors (see below), whose sum is σ = 5122656. Its totient is φ = 649728.

The previous prime is 1896157. The next prime is 1896161. The reversal of 1896160 is 616981.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1896161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274 + ... + 1966.

It is an arithmetic number, because the mean of its divisors is an integer number (106722).

2^1896160 is an apocalyptic number.

1896160 is a gapful number since it is divisible by the number (10) 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 1896160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561328).

1896160 is an abundant number, since it is smaller than the sum of its proper divisors (3226496).

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

1896160 is a wasteful number, since it uses less digits than its factorization.

1896160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1896160 is about 1377.0112563084. The cubic root of 1896160 is about 123.7727366991.

Subtracting from 1896160 its sum of digits (31), we obtain a square (1896129 = 1377²).

The spelling of 1896160 in words is "one million, eight hundred ninety-six thousand, one hundred sixty".