10835000 has 80 divisors (see below), whose sum is σ = 27834840. Its totient is φ = 3920000.

The previous prime is 10834987. The next prime is 10835017. The reversal of 10835000 is 53801.

It is a self number, because there is not a number n which added to its sum of digits gives 10835000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54902 + ... + 55098.

Almost surely, 2^10835000 is an apocalyptic number.

10835000 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 10835000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13917420).

10835000 is an abundant number, since it is smaller than the sum of its proper divisors (16999840).

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

10835000 is a wasteful number, since it uses less digits than its factorization.

10835000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10835000 is about 3291.6561181266. The cubic root of 10835000 is about 221.2804122600.

Adding to 10835000 its reverse (53801), we get a palindrome (10888801).

The spelling of 10835000 in words is "ten million, eight hundred thirty-five thousand".