10024400 has 60 divisors (see below), whose sum is σ = 25370400. Its totient is φ = 3795840.

The previous prime is 10024397. The next prime is 10024423. The reversal of 10024400 is 442001.

10024400 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, 6941 + ... + 8259.

It is an arithmetic number, because the mean of its divisors is an integer number (422840).

Almost surely, 2^10024400 is an apocalyptic number.

10024400 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 10024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12685200).

10024400 is an abundant number, since it is smaller than the sum of its proper divisors (15346000).

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

10024400 is a wasteful number, since it uses less digits than its factorization.

10024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 10024400 is about 3166.1332884135. The cubic root of 10024400 is about 215.6185540326.

Adding to 10024400 its reverse (442001), we get a palindrome (10466401).

The spelling of 10024400 in words is "ten million, twenty-four thousand, four hundred".