1979600 has 90 divisors (see below), whose sum is σ = 5587254. Its totient is φ = 672000.

The previous prime is 1979581. The next prime is 1979609. The reversal of 1979600 is 69791.

It can be written as a sum of positive squares in 3 ways, for example, as 529984 + 1449616 = 728^2 + 1204^2 .

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1979609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19550 + ... + 19650.

2^1979600 is an apocalyptic number.

1979600 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 1979600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793627).

1979600 is an abundant number, since it is smaller than the sum of its proper divisors (3607654).

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

1979600 is a wasteful number, since it uses less digits than its factorization.

1979600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 1979600 is about 1406.9825869569. The cubic root of 1979600 is about 125.5622670539.

The spelling of 1979600 in words is "one million, nine hundred seventy-nine thousand, six hundred".