10209936 has 80 divisors (see below), whose sum is σ = 29337408. Its totient is φ = 3033600.

The previous prime is 10209931. The next prime is 10209961. The reversal of 10209936 is 63990201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10209931) 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 15 ways as a sum of consecutive naturals, for example, 32050 + ... + 32366.

Almost surely, 2^10209936 is an apocalyptic number.

10209936 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 10209936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14668704).

10209936 is an abundant number, since it is smaller than the sum of its proper divisors (19127472).

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

10209936 is a wasteful number, since it uses less digits than its factorization.

10209936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 10209936 is about 3195.2990470377. The cubic root of 10209936 is about 216.9406847303.

The spelling of 10209936 in words is "ten million, two hundred nine thousand, nine hundred thirty-six".