10236400 has 60 divisors (see below), whose sum is σ = 24901432. Its totient is φ = 4043520.

The previous prime is 10236379. The next prime is 10236407. The reversal of 10236400 is 463201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10236407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62719 + ... + 62881.

Almost surely, 2^10236400 is an apocalyptic number.

10236400 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 10236400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12450716).

10236400 is an abundant number, since it is smaller than the sum of its proper divisors (14665032).

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

10236400 is a wasteful number, since it uses less digits than its factorization.

10236400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 10236400 is about 3199.4374505528. The cubic root of 10236400 is about 217.1279586797.

Adding to 10236400 its reverse (463201), we get a palindrome (10699601).

The spelling of 10236400 in words is "ten million, two hundred thirty-six thousand, four hundred".