10036800 has 252 divisors, whose sum is σ = 38692836. Its totient is φ = 2457600.

The previous prime is 10036787. The next prime is 10036837. The reversal of 10036800 is 863001.

It can be written as a sum of positive squares in 6 ways, for example, as 746496 + 9290304 = 864^2 + 3048^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244780 + ... + 244820.

It is an arithmetic number, because the mean of its divisors is an integer number (153543).

Almost surely, 2^10036800 is an apocalyptic number.

10036800 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 10036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346418).

10036800 is an abundant number, since it is smaller than the sum of its proper divisors (28656036).

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

10036800 is a wasteful number, since it uses less digits than its factorization.

10036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10036800 is about 3168.0909077866. The cubic root of 10036800 is about 215.7074228061.

Adding to 10036800 its reverse (863001), we get a palindrome (10899801).

The spelling of 10036800 in words is "ten million, thirty-six thousand, eight hundred".