1825632 has 48 divisors (see below), whose sum is σ = 5327280. Its totient is φ = 608256.

The previous prime is 1825631. The next prime is 1825661. The reversal of 1825632 is 2365281.

1825632 is a `hidden beast` number, since 1 + 8 + 25 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 1825596 and 1825605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1825631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193 + ... + 1920.

It is an arithmetic number, because the mean of its divisors is an integer number (110985).

2^1825632 is an apocalyptic number.

1825632 is a gapful number since it is divisible by the number (12) 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 1825632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663640).

1825632 is an abundant number, since it is smaller than the sum of its proper divisors (3501648).

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

1825632 is a wasteful number, since it uses less digits than its factorization.

1825632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2118 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1825632 is about 1351.1595020574. The cubic root of 1825632 is about 122.2187243566.

The spelling of 1825632 in words is "one million, eight hundred twenty-five thousand, six hundred thirty-two".