1024119640 has 64 divisors (see below), whose sum is σ = 2351268000. Its totient is φ = 401341440.

The previous prime is 1024119631. The next prime is 1024119647. The reversal of 1024119640 is 469114201.

1024119640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1024119599 and 1024119608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024119647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964710 + ... + 965770.

Almost surely, 2^1024119640 is an apocalyptic number.

1024119640 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 1024119640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175634000).

1024119640 is an abundant number, since it is smaller than the sum of its proper divisors (1327148360).

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

1024119640 is a wasteful number, since it uses less digits than its factorization.

1024119640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1024119640 is about 32001.8693204006. The cubic root of 1024119640 is about 1007.9760928024.

The spelling of 1024119640 in words is "one billion, twenty-four million, one hundred nineteen thousand, six hundred forty".