1972960 has 96 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 668160.

The previous prime is 1972939. The next prime is 1972967. The reversal of 1972960 is 692791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33411 + ... + 33469.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2^1972960 is an apocalyptic number.

1972960 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 1972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

1972960 is an abundant number, since it is smaller than the sum of its proper divisors (3470240).

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

1972960 is a wasteful number, since it uses less digits than its factorization.

1972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 1972960 is about 1404.6209453087. The cubic root of 1972960 is about 125.4217222692.

The spelling of 1972960 in words is "one million, nine hundred seventy-two thousand, nine hundred sixty".