1025068800 has 432 divisors, whose sum is σ = 4014743040. Its totient is φ = 225361920.

The previous prime is 1025068799. The next prime is 1025068817. The reversal of 1025068800 is 88605201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3897469 + ... + 3897731.

Almost surely, 2^1025068800 is an apocalyptic number.

1025068800 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 1025068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007371520).

1025068800 is an abundant number, since it is smaller than the sum of its proper divisors (2989674240).

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

1025068800 is a wasteful number, since it uses less digits than its factorization.

1025068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1025068800 is about 32016.6956446164. The cubic root of 1025068800 is about 1008.2873960054.

The spelling of 1025068800 in words is "one billion, twenty-five million, sixty-eight thousand, eight hundred".