825120 has 96 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 218880.

The previous prime is 825109. The next prime is 825131. The reversal of 825120 is 21528.

It is an interprime number because it is at equal distance from previous prime (825109) and next prime (825131).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 825093 and 825102.

It is an unprimeable number.

825120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4225 + ... + 4415.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁸²⁵¹²⁰ is an apocalyptic number.

825120 is a gapful number since it is divisible by the number (80) 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 825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

825120 is an abundant number, since it is smaller than the sum of its proper divisors (2077920).

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

825120 is a wasteful number, since it uses less digits than its factorization.

825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

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

The square root of 825120 is about 908.3611616532. The cubic root of 825120 is about 93.7934198872.

Adding to 825120 its reverse (21528), we get a palindrome (846648).

The spelling of 825120 in words is "eight hundred twenty-five thousand, one hundred twenty".