10949136 has 80 divisors (see below), whose sum is σ = 31337280. Its totient is φ = 3266560.

The previous prime is 10949131. The next prime is 10949137. The reversal of 10949136 is 63194901.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10949097 and 10949106.

It is not an unprimeable number, because it can be changed into a prime (10949131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46876 + ... + 47108.

It is an arithmetic number, because the mean of its divisors is an integer number (391716).

Almost surely, 2^10949136 is an apocalyptic number.

10949136 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 10949136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

10949136 is an abundant number, since it is smaller than the sum of its proper divisors (20388144).

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

10949136 is a wasteful number, since it uses less digits than its factorization.

10949136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 10949136 is about 3308.9478690363. The cubic root of 10949136 is about 222.0546898780.

The spelling of 10949136 in words is "ten million, nine hundred forty-nine thousand, one hundred thirty-six".