1000083540 has 96 divisors (see below), whose sum is σ = 2858970240. Its totient is φ = 261144576.

The previous prime is 1000083499. The next prime is 1000083541. The reversal of 1000083540 is 453800001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000083541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775216 + ... + 776504.

It is an arithmetic number, because the mean of its divisors is an integer number (29780940).

Almost surely, 2^1000083540 is an apocalyptic number.

1000083540 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 1000083540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429485120).

1000083540 is an abundant number, since it is smaller than the sum of its proper divisors (1858886700).

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

1000083540 is a wasteful number, since it uses less digits than its factorization.

1000083540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1000083540 is about 31624.0974574769. The cubic root of 1000083540 is about 1000.0278458913.

Adding to 1000083540 its reverse (453800001), we get a palindrome (1453883541).

The spelling of 1000083540 in words is "one billion, eighty-three thousand, five hundred forty".