1036000 has 96 divisors (see below), whose sum is σ = 2987712. Its totient is φ = 345600.

The previous prime is 1035977. The next prime is 1036001. The reversal of 1036000 is 6301.

It is a super-3 number, since 3×1036000³ = 3335803968000000000, which contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036001) 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, 27982 + ... + 28018.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2^1036000 is an apocalyptic number.

1036000 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 1036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493856).

1036000 is an abundant number, since it is smaller than the sum of its proper divisors (1951712).

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

1036000 is an equidigital number, since it uses as much as digits as its factorization.

1036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 51 counting only the distinct ones).

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

The square root of 1036000 is about 1017.8408520000. The cubic root of 1036000 is about 101.1858812655.

It can be divided in two parts, 10 and 36000, that multiplied together give a square (360000 = 600²).

The spelling of 1036000 in words is "one million, thirty-six thousand".