10420896 has 48 divisors (see below), whose sum is σ = 27748224. Its totient is φ = 3423744.

The previous prime is 10420829. The next prime is 10420901. The reversal of 10420896 is 69802401.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6265 + ... + 7751.

It is an arithmetic number, because the mean of its divisors is an integer number (578088).

Almost surely, 2^10420896 is an apocalyptic number.

10420896 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 10420896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874112).

10420896 is an abundant number, since it is smaller than the sum of its proper divisors (17327328).

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

10420896 is a wasteful number, since it uses less digits than its factorization.

10420896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10420896 is about 3228.1412608497. The cubic root of 10420896 is about 218.4246694886.

The spelling of 10420896 in words is "ten million, four hundred twenty thousand, eight hundred ninety-six".