1972080 has 160 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 472320.

The previous prime is 1972079. The next prime is 1972093. The reversal of 1972080 is 802791.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 23719 + ... + 23801.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2^1972080 is an apocalyptic number.

1972080 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 1972080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

1972080 is an abundant number, since it is smaller than the sum of its proper divisors (5527440).

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

1972080 is a wasteful number, since it uses less digits than its factorization.

1972080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1972080 is about 1404.3076585991. The cubic root of 1972080 is about 125.4030721987.

The spelling of 1972080 in words is "one million, nine hundred seventy-two thousand, eighty".