10079600 has 60 divisors (see below), whose sum is σ = 24540096. Its totient is φ = 3978240.

The previous prime is 10079599. The next prime is 10079627. The reversal of 10079600 is 697001.

It is a happy number.

10079600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45089 + ... + 45311.

Almost surely, 2^10079600 is an apocalyptic number.

10079600 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 10079600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12270048).

10079600 is an abundant number, since it is smaller than the sum of its proper divisors (14460496).

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

10079600 is a wasteful number, since it uses less digits than its factorization.

10079600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 10079600 is about 3174.8385785737. The cubic root of 10079600 is about 216.0136022527.

The spelling of 10079600 in words is "ten million, seventy-nine thousand, six hundred".