1003887540 has 96 divisors (see below), whose sum is σ = 3140766720. Its totient is φ = 266198400.

The previous prime is 1003887529. The next prime is 1003887541. The reversal of 1003887540 is 457883001.

1003887540 is a `hidden beast` number, since 1 + 0 + 0 + 38 + 87 + 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 = 1003887495 and 1003887504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003887541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92605 + ... + 102875.

It is an arithmetic number, because the mean of its divisors is an integer number (32716320).

Almost surely, 2^1003887540 is an apocalyptic number.

1003887540 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 1003887540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570383360).

1003887540 is an abundant number, since it is smaller than the sum of its proper divisors (2136879180).

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

1003887540 is a wasteful number, since it uses less digits than its factorization.

1003887540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10470 (or 10462 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1003887540 is about 31684.1843827484. The cubic root of 1003887540 is about 1001.2941710654.

The spelling of 1003887540 in words is "one billion, three million, eight hundred eighty-seven thousand, five hundred forty".