1906144720 has 80 divisors (see below), whose sum is σ = 4739281488. Its totient is φ = 710451200.

The previous prime is 1906144699. The next prime is 1906144727. The reversal of 1906144720 is 274416091.

It can be written as a sum of positive squares in 8 ways, for example, as 25361296 + 1880783424 = 5036^2 + 43368^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1906144727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130422 + ... + 144298.

Almost surely, 2^1906144720 is an apocalyptic number.

1906144720 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 1906144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369640744).

1906144720 is an abundant number, since it is smaller than the sum of its proper divisors (2833136768).

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

1906144720 is a wasteful number, since it uses less digits than its factorization.

1906144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14008 (or 14002 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 1906144720 is about 43659.4173117324. The cubic root of 1906144720 is about 1239.8960891074.

The spelling of 1906144720 in words is "one billion, nine hundred six million, one hundred forty-four thousand, seven hundred twenty".