10025820 has 144 divisors (see below), whose sum is σ = 35555520. Its totient is φ = 2239488.

The previous prime is 10025789. The next prime is 10025831. The reversal of 10025820 is 2852001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10025793 and 10025802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91926 + ... + 92034.

Almost surely, 2^10025820 is an apocalyptic number.

10025820 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 10025820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777760).

10025820 is an abundant number, since it is smaller than the sum of its proper divisors (25529700).

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

10025820 is a wasteful number, since it uses less digits than its factorization.

10025820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10025820 is about 3166.3575287702. The cubic root of 10025820 is about 215.6287346549.

Adding to 10025820 its reverse (2852001), we get a palindrome (12877821).

The spelling of 10025820 in words is "ten million, twenty-five thousand, eight hundred twenty".