4079600 has 120 divisors (see below), whose sum is σ = 11808768. Its totient is φ = 1324800.

The previous prime is 4079573. The next prime is 4079617. The reversal of 4079600 is 69704.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4079600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86777 + ... + 86823.

Almost surely, 2^4079600 is an apocalyptic number.

4079600 is a gapful number since it is divisible by the number (40) 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 4079600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5904384).

4079600 is an abundant number, since it is smaller than the sum of its proper divisors (7729168).

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

4079600 is a wasteful number, since it uses less digits than its factorization.

4079600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 4079600 is about 2019.8019704912. The cubic root of 4079600 is about 159.7861726974.

The spelling of 4079600 in words is "four million, seventy-nine thousand, six hundred".