10049776 has 60 divisors (see below), whose sum is σ = 22264200. Its totient is φ = 4385920.

The previous prime is 10049759. The next prime is 10049777. The reversal of 10049776 is 67794001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10049777) 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 11 ways as a sum of consecutive naturals, for example, 56055 + ... + 56233.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 2^10049776 is an apocalyptic number.

10049776 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 10049776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11132100).

10049776 is an abundant number, since it is smaller than the sum of its proper divisors (12214424).

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

10049776 is a wasteful number, since it uses less digits than its factorization.

10049776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 10049776 is about 3170.1381673359. The cubic root of 10049776 is about 215.8003413377.

The spelling of 10049776 in words is "ten million, forty-nine thousand, seven hundred seventy-six".