1788106540 has 144 divisors (see below), whose sum is σ = 4290048000. Its totient is φ = 625173120.

The previous prime is 1788106531. The next prime is 1788106561. The reversal of 1788106540 is 456018871.

It is a junction number, because it is equal to n+sod(n) for n = 1788106493 and 1788106502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8985361 + ... + 8985559.

It is an arithmetic number, because the mean of its divisors is an integer number (29792000).

Almost surely, 2^1788106540 is an apocalyptic number.

1788106540 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 1788106540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145024000).

1788106540 is an abundant number, since it is smaller than the sum of its proper divisors (2501941460).

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

1788106540 is a wasteful number, since it uses less digits than its factorization.

1788106540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 1788106540 is about 42286.0087972369. The cubic root of 1788106540 is about 1213.7552754689.

The spelling of 1788106540 in words is "one billion, seven hundred eighty-eight million, one hundred six thousand, five hundred forty".