10485936 has 140 divisors (see below), whose sum is σ = 32527680. Its totient is φ = 3265920.

The previous prime is 10485913. The next prime is 10485941. The reversal of 10485936 is 63958401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10485936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 338241 + ... + 338271.

Almost surely, 2^10485936 is an apocalyptic number.

10485936 is a gapful number since it is divisible by the number (16) 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 10485936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16263840).

10485936 is an abundant number, since it is smaller than the sum of its proper divisors (22041744).

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

10485936 is an equidigital number, since it uses as much as digits as its factorization.

10485936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 10485936 is about 3238.1994997220. The cubic root of 10485936 is about 218.8781457599.

The spelling of 10485936 in words is "ten million, four hundred eighty-five thousand, nine hundred thirty-six".