1532545920 has 640 divisors, whose sum is σ = 6078188160. Its totient is φ = 366280704.

The previous prime is 1532545897. The next prime is 1532545951. The reversal of 1532545920 is 295452351.

It is a happy number.

1532545920 is a `hidden beast` number, since 1 + 532 + 54 + 59 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32607337 + ... + 32607383.

It is an arithmetic number, because the mean of its divisors is an integer number (9497169).

Almost surely, 2^1532545920 is an apocalyptic number.

1532545920 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 1532545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039094080).

1532545920 is an abundant number, since it is smaller than the sum of its proper divisors (4545642240).

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

1532545920 is a wasteful number, since it uses less digits than its factorization.

1532545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1532545920 is about 39147.7447626297. The cubic root of 1532545920 is about 1152.9341381511.

The spelling of 1532545920 in words is "one billion, five hundred thirty-two million, five hundred forty-five thousand, nine hundred twenty".