1541532960 has 288 divisors, whose sum is σ = 5775561792. Its totient is φ = 371312640.

The previous prime is 1541532907. The next prime is 1541532983. The reversal of 1541532960 is 692351451.

1541532960 is a `hidden beast` number, since 1 + 541 + 53 + 2 + 9 + 60 = 666.

1541532960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 4862722 + ... + 4863038.

It is an arithmetic number, because the mean of its divisors is an integer number (20054034).

Almost surely, 2^1541532960 is an apocalyptic number.

1541532960 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 1541532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887780896).

1541532960 is an abundant number, since it is smaller than the sum of its proper divisors (4234028832).

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

1541532960 is a wasteful number, since it uses less digits than its factorization.

1541532960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1541532960 is about 39262.3606014717. The cubic root of 1541532960 is about 1155.1833969754.

The spelling of 1541532960 in words is "one billion, five hundred forty-one million, five hundred thirty-two thousand, nine hundred sixty".