1906000 has 40 divisors (see below), whose sum is σ = 4613544. Its totient is φ = 761600.

The previous prime is 1905983. The next prime is 1906007. The reversal of 1906000 is 6091.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 1784896 = 348^2 + 1336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1906007) 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, 1524 + ... + 2476.

2^1906000 is an apocalyptic number.

1906000 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 1906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306772).

1906000 is an abundant number, since it is smaller than the sum of its proper divisors (2707544).

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

1906000 is an equidigital number, since it uses as much as digits as its factorization.

1906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1906000 is about 1380.5795884338. The cubic root of 1906000 is about 123.9864709485.

The spelling of 1906000 in words is "one million, nine hundred six thousand".