1047024640 has 176 divisors, whose sum is σ = 2711865600. Its totient is φ = 386629632.

The previous prime is 1047024623. The next prime is 1047024701. The reversal of 1047024640 is 464207401.

It is a junction number, because it is equal to n+sod(n) for n = 1047024599 and 1047024608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4572046 + ... + 4572274.

Almost surely, 2^1047024640 is an apocalyptic number.

1047024640 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 1047024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355932800).

1047024640 is an abundant number, since it is smaller than the sum of its proper divisors (1664840960).

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

1047024640 is a wasteful number, since it uses less digits than its factorization.

1047024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 1047024640 is about 32357.7601202555. The cubic root of 1047024640 is about 1015.4354025126.

The spelling of 1047024640 in words is "one billion, forty-seven million, twenty-four thousand, six hundred forty".