1906727040 has 160 divisors (see below), whose sum is σ = 6809451660. Its totient is φ = 508446720.

The previous prime is 1906727023. The next prime is 1906727047. The reversal of 1906727040 is 407276091.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1585313856 + 321413184 = 39816^2 + 17928^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1906726986 and 1906727004.

It is not an unprimeable number, because it can be changed into a prime (1906727047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33450 + ... + 70230.

Almost surely, 2^1906727040 is an apocalyptic number.

1906727040 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 1906727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404725830).

1906727040 is an abundant number, since it is smaller than the sum of its proper divisors (4902724620).

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

1906727040 is an equidigital number, since it uses as much as digits as its factorization.

1906727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36812 (or 36791 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1906727040 is about 43666.0856958807. The cubic root of 1906727040 is about 1240.0223374401.

The spelling of 1906727040 in words is "one billion, nine hundred six million, seven hundred twenty-seven thousand, forty".