1024938880 has 320 divisors, whose sum is σ = 3085581600. Its totient is φ = 324538368.

The previous prime is 1024938839. The next prime is 1024938911. The reversal of 1024938880 is 888394201.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35342706 + ... + 35342734.

Almost surely, 2^1024938880 is an apocalyptic number.

1024938880 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 1024938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542790800).

1024938880 is an abundant number, since it is smaller than the sum of its proper divisors (2060642720).

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

1024938880 is an frugal number, since it uses more digits than its factorization.

1024938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 1024938880 is about 32014.6666389016. Note that the first 4 decimals coincide. The cubic root of 1024938880 is about 1008.2447965125.

The spelling of 1024938880 in words is "one billion, twenty-four million, nine hundred thirty-eight thousand, eight hundred eighty".