1024882000 has 80 divisors (see below), whose sum is σ = 2531123712. Its totient is φ = 401193600.

The previous prime is 1024881971. The next prime is 1024882003. The reversal of 1024882000 is 2884201.

1024882000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1024882000² = 2100766227848000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024882003) 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, 88549 + ... + 99451.

Almost surely, 2^1024882000 is an apocalyptic number.

1024882000 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 1024882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265561856).

1024882000 is an abundant number, since it is smaller than the sum of its proper divisors (1506241712).

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

1024882000 is a wasteful number, since it uses less digits than its factorization.

1024882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10973 (or 10957 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 1024882000 is about 32013.7782837328. The cubic root of 1024882000 is about 1008.2261449857.

The spelling of 1024882000 in words is "one billion, twenty-four million, eight hundred eighty-two thousand".