10036400 has 60 divisors (see below), whose sum is σ = 26316024. Its totient is φ = 3648000.

The previous prime is 10036381. The next prime is 10036417. The reversal of 10036400 is 463001.

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, 3260 + ... + 5540.

Almost surely, 2^10036400 is an apocalyptic number.

10036400 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 10036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13158012).

10036400 is an abundant number, since it is smaller than the sum of its proper divisors (16279624).

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

10036400 is a wasteful number, since it uses less digits than its factorization.

10036400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 10036400 is about 3168.0277776560. The cubic root of 10036400 is about 215.7045572143.

Adding to 10036400 its reverse (463001), we get a palindrome (10499401).

The spelling of 10036400 in words is "ten million, thirty-six thousand, four hundred".