1936000 has 96 divisors (see below), whose sum is σ = 5290740. Its totient is φ = 704000.

The previous prime is 1935991. The next prime is 1936021. The reversal of 1936000 is 6391.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1308736 + 627264 = 1144^2 + 792^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175995 + ... + 176005.

2^1936000 is an apocalyptic number.

1936000 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 1936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645370).

1936000 is an abundant number, since it is smaller than the sum of its proper divisors (3354740).

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

1936000 is an equidigital number, since it uses as much as digits as its factorization.

1936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 1936000 is about 1391.4021704741. The cubic root of 1936000 is about 124.6335936874.

The spelling of 1936000 in words is "one million, nine hundred thirty-six thousand".