1540976832 has 112 divisors (see below), whose sum is σ = 4796759520. Its totient is φ = 483434496.

The previous prime is 1540976813. The next prime is 1540976867. The reversal of 1540976832 is 2386790451.

1540976832 is a `hidden beast` number, since 1 + 540 + 9 + 76 + 8 + 32 = 666.

1540976832 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1540976832 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3148 + ... + 55604.

It is an arithmetic number, because the mean of its divisors is an integer number (42828210).

It is a 1-persistent number, because it is pandigital, but 2⋅1540976832 = 3081953664 is not.

Almost surely, 2^1540976832 is an apocalyptic number.

1540976832 is a gapful number since it is divisible by the number (12) 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 1540976832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398379760).

1540976832 is an abundant number, since it is smaller than the sum of its proper divisors (3255782688).

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

1540976832 is a wasteful number, since it uses less digits than its factorization.

1540976832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52495 (or 52479 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1540976832 is about 39255.2777598121. The cubic root of 1540976832 is about 1155.0444644714.

The spelling of 1540976832 in words is "one billion, five hundred forty million, nine hundred seventy-six thousand, eight hundred thirty-two".