1532868120 has 384 divisors, whose sum is σ = 6065280000. Its totient is φ = 328154112.

The previous prime is 1532868119. The next prime is 1532868131. The reversal of 1532868120 is 218682351.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3071631 + ... + 3072129.

It is an arithmetic number, because the mean of its divisors is an integer number (15795000).

Almost surely, 2^1532868120 is an apocalyptic number.

1532868120 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 1532868120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032640000).

1532868120 is an abundant number, since it is smaller than the sum of its proper divisors (4532411880).

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

1532868120 is a wasteful number, since it uses less digits than its factorization.

1532868120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1532868120 is about 39151.8597259441. The cubic root of 1532868120 is about 1153.0149294985.

The spelling of 1532868120 in words is "one billion, five hundred thirty-two million, eight hundred sixty-eight thousand, one hundred twenty".