10079424 has 112 divisors (see below), whose sum is σ = 31292800. Its totient is φ = 3172608.

The previous prime is 10079423. The next prime is 10079449. The reversal of 10079424 is 42497001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10079423) 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, 32679 + ... + 32985.

It is an arithmetic number, because the mean of its divisors is an integer number (279400).

Almost surely, 2^10079424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10079424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15646400).

10079424 is an abundant number, since it is smaller than the sum of its proper divisors (21213376).

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

10079424 is a wasteful number, since it uses less digits than its factorization.

10079424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10079424 is about 3174.8108605081. The cubic root of 10079424 is about 216.0123449735.

It can be divided in two parts, 100 and 79424, that added together give a square (79524 = 282²).

The spelling of 10079424 in words is "ten million, seventy-nine thousand, four hundred twenty-four".