10835120 has 80 divisors (see below), whose sum is σ = 27641088. Its totient is φ = 3932160.

The previous prime is 10835113. The next prime is 10835147. The reversal of 10835120 is 2153801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10835092 and 10835101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42032 + ... + 42288.

Almost surely, 2^10835120 is an apocalyptic number.

10835120 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 10835120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13820544).

10835120 is an abundant number, since it is smaller than the sum of its proper divisors (16805968).

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

10835120 is a wasteful number, since it uses less digits than its factorization.

10835120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10835120 is about 3291.6743459826. The cubic root of 10835120 is about 221.2812291667.

Adding to 10835120 its reverse (2153801), we get a palindrome (12988921).

The spelling of 10835120 in words is "ten million, eight hundred thirty-five thousand, one hundred twenty".