1538085120 has 288 divisors, whose sum is σ = 5773106304. Its totient is φ = 344064000.

The previous prime is 1538085113. The next prime is 1538085121. The reversal of 1538085120 is 215808351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1538085121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547720 + ... + 550520.

It is an arithmetic number, because the mean of its divisors is an integer number (20045508).

Almost surely, 2^1538085120 is an apocalyptic number.

1538085120 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 1538085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886553152).

1538085120 is an abundant number, since it is smaller than the sum of its proper divisors (4235021184).

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

1538085120 is a wasteful number, since it uses less digits than its factorization.

1538085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 1538085120 is about 39218.4283213899. The cubic root of 1538085120 is about 1154.3215145207.

The spelling of 1538085120 in words is "one billion, five hundred thirty-eight million, eighty-five thousand, one hundred twenty".