1540993832 has 64 divisors (see below), whose sum is σ = 3514907520. Its totient is φ = 618283008.

The previous prime is 1540993823. The next prime is 1540993837. The reversal of 1540993832 is 2383990451.

It is not an unprimeable number, because it can be changed into a prime (1540993837) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 179543 + ... + 187929.

It is an arithmetic number, because the mean of its divisors is an integer number (54920430).

Almost surely, 2^1540993832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540993832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757453760).

1540993832 is an abundant number, since it is smaller than the sum of its proper divisors (1973913688).

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

1540993832 is a wasteful number, since it uses less digits than its factorization.

1540993832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8610 (or 8606 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 1540993832 is about 39255.4942906085. The cubic root of 1540993832 is about 1155.0487119252.

The spelling of 1540993832 in words is "one billion, five hundred forty million, nine hundred ninety-three thousand, eight hundred thirty-two".