10225776 has 80 divisors (see below), whose sum is σ = 29248128. Its totient is φ = 3052800.

The previous prime is 10225771. The next prime is 10225783. The reversal of 10225776 is 67752201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225771) 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, 56406 + ... + 56586.

Almost surely, 2^10225776 is an apocalyptic number.

10225776 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 10225776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064).

10225776 is an abundant number, since it is smaller than the sum of its proper divisors (19022352).

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

10225776 is a wasteful number, since it uses less digits than its factorization.

10225776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 10225776 is about 3197.7767276656. The cubic root of 10225776 is about 217.0528161839.

Adding to 10225776 its reverse (67752201), we get a palindrome (77977977).

It can be divided in two parts, 102 and 25776, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 10225776 in words is "ten million, two hundred twenty-five thousand, seven hundred seventy-six".