10332400 has 60 divisors (see below), whose sum is σ = 26746552. Its totient is φ = 3813120.

The previous prime is 10332397. The next prime is 10332431. The reversal of 10332400 is 423301.

10332400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 4207 + ... + 6193.

Almost surely, 2^10332400 is an apocalyptic number.

10332400 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 10332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373276).

10332400 is an abundant number, since it is smaller than the sum of its proper divisors (16414152).

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

10332400 is a wasteful number, since it uses less digits than its factorization.

10332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 10332400 is about 3214.4050771488. The cubic root of 10332400 is about 217.8046112832.

Adding to 10332400 its reverse (423301), we get a palindrome (10755701).

Subtracting from 10332400 its reverse (423301), we obtain a palindrome (9909099).

The spelling of 10332400 in words is "ten million, three hundred thirty-two thousand, four hundred".