1980972 has 54 divisors (see below), whose sum is σ = 5830188. Its totient is φ = 565488.

The previous prime is 1980949. The next prime is 1980983. The reversal of 1980972 is 2790891.

It is a happy number.

1980972 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 1203 + ... + 2325.

2^1980972 is an apocalyptic number.

1980972 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 1980972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915094).

1980972 is an abundant number, since it is smaller than the sum of its proper divisors (3849216).

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

1980972 is a wasteful number, since it uses less digits than its factorization.

1980972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1980972 is about 1407.4700707297. The cubic root of 1980972 is about 125.5912681395.

It can be divided in two parts, 19809 and 72, that added together give a square (19881 = 141²).

The spelling of 1980972 in words is "one million, nine hundred eighty thousand, nine hundred seventy-two".