1000258896 has 320 divisors, whose sum is σ = 3359784960. Its totient is φ = 249384960.

The previous prime is 1000258871. The next prime is 1000258949. The reversal of 1000258896 is 6988520001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11238820 + ... + 11238908.

It is an arithmetic number, because the mean of its divisors is an integer number (10499328).

Almost surely, 2^1000258896 is an apocalyptic number.

1000258896 is a gapful number since it is divisible by the number (16) 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 1000258896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679892480).

1000258896 is an abundant number, since it is smaller than the sum of its proper divisors (2359526064).

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

1000258896 is a wasteful number, since it uses less digits than its factorization.

1000258896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1000258896 is about 31626.8698419556. The cubic root of 1000258896 is about 1000.0862912203.

Adding to 1000258896 its reverse (6988520001), we get a palindrome (7988778897).

The spelling of 1000258896 in words is "one billion, two hundred fifty-eight thousand, eight hundred ninety-six".