1825320 has 128 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 399360.

The previous prime is 1825319. The next prime is 1825331. The reversal of 1825320 is 235281.

1825320 = 68² + 69² + ... + 179².

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34414 + ... + 34466.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

2^1825320 is an apocalyptic number.

1825320 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 1825320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

1825320 is an abundant number, since it is smaller than the sum of its proper divisors (4706520).

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

1825320 is a wasteful number, since it uses less digits than its factorization.

1825320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1825320 is about 1351.0440407329. The cubic root of 1825320 is about 122.2117615779.

It can be divided in two parts, 1825 and 320, that added together give a triangular number (2145 = T₆₅).

The spelling of 1825320 in words is "one million, eight hundred twenty-five thousand, three hundred twenty".