1972980 has 72 divisors (see below), whose sum is σ = 6099912. Its totient is φ = 516096.

The previous prime is 1972967. The next prime is 1972981. The reversal of 1972980 is 892791.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 1971216 = 42^2 + 1404^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17404 + ... + 17516.

It is an arithmetic number, because the mean of its divisors is an integer number (84721).

2^1972980 is an apocalyptic number.

1972980 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 1972980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049956).

1972980 is an abundant number, since it is smaller than the sum of its proper divisors (4126932).

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

1972980 is a wasteful number, since it uses less digits than its factorization.

1972980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

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

The square root of 1972980 is about 1404.6280646491. The cubic root of 1972980 is about 125.4221460700.

The spelling of 1972980 in words is "one million, nine hundred seventy-two thousand, nine hundred eighty".