1032876540 has 72 divisors (see below), whose sum is σ = 3150660240. Its totient is φ = 273886464.

The previous prime is 1032876529. The next prime is 1032876541. The reversal of 1032876540 is 456782301.

1032876540 is a `hidden beast` number, since 1 + 0 + 32 + 87 + 6 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1032876495 and 1032876504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032876541) 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 23 ways as a sum of consecutive naturals, for example, 16192 + ... + 48248.

It is an arithmetic number, because the mean of its divisors is an integer number (43759170).

Almost surely, 2^1032876540 is an apocalyptic number.

1032876540 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 1032876540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575330120).

1032876540 is an abundant number, since it is smaller than the sum of its proper divisors (2117783700).

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

1032876540 is a wasteful number, since it uses less digits than its factorization.

1032876540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32251 (or 32246 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1032876540 is about 32138.3966619369. The cubic root of 1032876540 is about 1010.8408969282.

It can be divided in two parts, 10328 and 76540, that added together give a palindrome (86868).

The spelling of 1032876540 in words is "one billion, thirty-two million, eight hundred seventy-six thousand, five hundred forty".