1980432 has 60 divisors (see below), whose sum is σ = 5875740. Its totient is φ = 620544.

The previous prime is 1980431. The next prime is 1980443. The reversal of 1980432 is 2340891.

It can be written as a sum of positive squares in 2 ways, for example, as 1648656 + 331776 = 1284^2 + 576^2 .

It is a super-2 number, since 2×1980432² = 7844221813248, which contains 22 as substring.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 1980396 and 1980405.

It is not an unprimeable number, because it can be changed into a prime (1980431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2044 + ... + 2852.

It is an arithmetic number, because the mean of its divisors is an integer number (97929).

2^1980432 is an apocalyptic number.

1980432 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 1980432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937870).

1980432 is an abundant number, since it is smaller than the sum of its proper divisors (3895308).

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

1980432 is a wasteful number, since it uses less digits than its factorization.

1980432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1980432 is about 1407.2782240907. The cubic root of 1980432 is about 125.5798553166.

The spelling of 1980432 in words is "one million, nine hundred eighty thousand, four hundred thirty-two".