1025892000 has 768 divisors, whose sum is σ = 4528742400. Its totient is φ = 220492800.

The previous prime is 1025891989. The next prime is 1025892001. The reversal of 1025892000 is 2985201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025892001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17387971 + ... + 17388029.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2^1025892000 is an apocalyptic number.

1025892000 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 1025892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1025892000 is an abundant number, since it is smaller than the sum of its proper divisors (3502850400).

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

1025892000 is a wasteful number, since it uses less digits than its factorization.

1025892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1025892000 is about 32029.5488572662. The cubic root of 1025892000 is about 1008.5572315831.

It can be divided in two parts, 1025 and 892000, that added together give a square (893025 = 945²).

The spelling of 1025892000 in words is "one billion, twenty-five million, eight hundred ninety-two thousand".