1025200 has 60 divisors (see below), whose sum is σ = 2698488. Its totient is φ = 371200.

The previous prime is 1025197. The next prime is 1025203. The reversal of 1025200 is 25201.

1025200 = 160² + 161² + ... + 192².

1025200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1025197) and next prime (1025203).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1025203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4284 + ... + 4516.

2^1025200 is an apocalyptic number.

1025200 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 1025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349244).

1025200 is an abundant number, since it is smaller than the sum of its proper divisors (1673288).

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

1025200 is a wasteful number, since it uses less digits than its factorization.

1025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1025200 is about 1012.5216047078. The cubic root of 1025200 is about 100.8330411545.

Subtracting from 1025200 its reverse (25201), we obtain a palindrome (999999).

It can be divided in two parts, 1025 and 200, that added together give a triangular number (1225 = T₄₉).

The spelling of 1025200 in words is "one million, twenty-five thousand, two hundred".