10835664 has 120 divisors (see below), whose sum is σ = 34604928. Its totient is φ = 2903040.

The previous prime is 10835663. The next prime is 10835677. The reversal of 10835664 is 46653801.

It is a super-2 number, since 2×10835664² = 234823228641792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10835663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39849 + ... + 40119.

Almost surely, 2^10835664 is an apocalyptic number.

10835664 is a gapful number since it is divisible by the number (14) 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 10835664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302464).

10835664 is an abundant number, since it is smaller than the sum of its proper divisors (23769264).

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

10835664 is a wasteful number, since it uses less digits than its factorization.

10835664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 10835664 is about 3291.7569776641. The cubic root of 10835664 is about 221.2849324013.

The spelling of 10835664 in words is "ten million, eight hundred thirty-five thousand, six hundred sixty-four".