10036000 has 96 divisors (see below), whose sum is σ = 26692848. Its totient is φ = 3686400.

The previous prime is 10035989. The next prime is 10036003. The reversal of 10036000 is 63001.

It can be written as a sum of positive squares in 8 ways, for example, as 226576 + 9809424 = 476^2 + 3132^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10036003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51904 + ... + 52096.

Almost surely, 2^10036000 is an apocalyptic number.

10036000 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 10036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13346424).

10036000 is an abundant number, since it is smaller than the sum of its proper divisors (16656848).

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

10036000 is a wasteful number, since it uses less digits than its factorization.

10036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 10036000 is about 3167.9646462674. The cubic root of 10036000 is about 215.7016915464.

Adding to 10036000 its reverse (63001), we get a palindrome (10099001).

It can be divided in two parts, 100 and 36000, that added together give a square (36100 = 190²).

The spelling of 10036000 in words is "ten million, thirty-six thousand".