10220896 has 48 divisors (see below), whose sum is σ = 23272704. Its totient is φ = 4328064.

The previous prime is 10220863. The next prime is 10220911. The reversal of 10220896 is 69802201.

10220896 = T₃₉₃ + T₃₉₄ + ... + T₄₉₅.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22851 + ... + 23293.

It is an arithmetic number, because the mean of its divisors is an integer number (484848).

Almost surely, 2^10220896 is an apocalyptic number.

10220896 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 10220896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636352).

10220896 is an abundant number, since it is smaller than the sum of its proper divisors (13051808).

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

10220896 is a wasteful number, since it uses less digits than its factorization.

10220896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 10220896 is about 3197.0136064771. The cubic root of 10220896 is about 217.0182829846.

The spelling of 10220896 in words is "ten million, two hundred twenty thousand, eight hundred ninety-six".