10024000 has 112 divisors (see below), whose sum is σ = 28529280. Its totient is φ = 3417600.

The previous prime is 10023991. The next prime is 10024009. The reversal of 10024000 is 42001.

It is an interprime number because it is at equal distance from previous prime (10023991) and next prime (10024009).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (10024009) 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, 55911 + ... + 56089.

Almost surely, 2^10024000 is an apocalyptic number.

10024000 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 10024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264640).

10024000 is an abundant number, since it is smaller than the sum of its proper divisors (18505280).

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

10024000 is an equidigital number, since it uses as much as digits as its factorization.

10024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 10024000 is about 3166.0701192488. The cubic root of 10024000 is about 215.6156860781.

Adding to 10024000 its reverse (42001), we get a palindrome (10066001).

The spelling of 10024000 in words is "ten million, twenty-four thousand".