1979280 has 60 divisors (see below), whose sum is σ = 6649500. Its totient is φ = 527616.

The previous prime is 1979269. The next prime is 1979281. The reversal of 1979280 is 829791.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 1527696 = 672^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (1979281) 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, 655 + ... + 2094.

It is an arithmetic number, because the mean of its divisors is an integer number (110825).

2^1979280 is an apocalyptic number.

1979280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1979280 is an abundant number, since it is smaller than the sum of its proper divisors (4670220).

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

1979280 is a wasteful number, since it uses less digits than its factorization.

1979280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2759 counting only the distinct ones).

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

The square root of 1979280 is about 1406.8688638249. The cubic root of 1979280 is about 125.5555010253. Note that the first 4 decimals are identical.

The spelling of 1979280 in words is "one million, nine hundred seventy-nine thousand, two hundred eighty".