1031084040 has 128 divisors (see below), whose sum is σ = 3543413760. Its totient is φ = 235125504.

The previous prime is 1031084029. The next prime is 1031084099. The reversal of 1031084040 is 404801301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1031083998 and 1031084016.

It is an unprimeable number.

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, 438147 + ... + 440493.

It is an arithmetic number, because the mean of its divisors is an integer number (27682920).

Almost surely, 2^1031084040 is an apocalyptic number.

1031084040 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 1031084040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771706880).

1031084040 is an abundant number, since it is smaller than the sum of its proper divisors (2512329720).

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

1031084040 is a wasteful number, since it uses less digits than its factorization.

1031084040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1031084040 is about 32110.4973489979. The cubic root of 1031084040 is about 1010.2558055454.

Adding to 1031084040 its reverse (404801301), we get a palindrome (1435885341).

The spelling of 1031084040 in words is "one billion, thirty-one million, eighty-four thousand, forty".