1955232 has 96 divisors (see below), whose sum is σ = 5967360. Its totient is φ = 622080.

The previous prime is 1955203. The next prime is 1955237. The reversal of 1955232 is 2325591.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 1955196 and 1955205.

It is not an unprimeable number, because it can be changed into a prime (1955237) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26748 + ... + 26820.

It is an arithmetic number, because the mean of its divisors is an integer number (62160).

2^1955232 is an apocalyptic number.

1955232 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 1955232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983680).

1955232 is an abundant number, since it is smaller than the sum of its proper divisors (4012128).

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

1955232 is a wasteful number, since it uses less digits than its factorization.

1955232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 1955232 is about 1398.2961059804. The cubic root of 1955232 is about 125.0449331795.

It can be divided in two parts, 1955 and 232, that added together give a 7-th power (2187 = 3⁷).

The spelling of 1955232 in words is "one million, nine hundred fifty-five thousand, two hundred thirty-two".