1893920 has 96 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 608256.

The previous prime is 1893917. The next prime is 1893929. The reversal of 1893920 is 293981.

1893920 = T₁₃₅ + T₁₃₆ + ... + T₂₃₉.

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

It is not an unprimeable number, because it can be changed into a prime (1893929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21236 + ... + 21324.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2^1893920 is an apocalyptic number.

1893920 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 1893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

1893920 is an abundant number, since it is smaller than the sum of its proper divisors (3549280).

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

1893920 is a wasteful number, since it uses less digits than its factorization.

1893920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 1893920 is about 1376.1976602218. The cubic root of 1893920 is about 123.7239784759.

The spelling of 1893920 in words is "one million, eight hundred ninety-three thousand, nine hundred twenty".