10400096 has 48 divisors (see below), whose sum is σ = 24222240. Its totient is φ = 4300800.

The previous prime is 10400077. The next prime is 10400123. The reversal of 10400096 is 69000401.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5696 + ... + 7296.

It is an arithmetic number, because the mean of its divisors is an integer number (504630).

Almost surely, 2^10400096 is an apocalyptic number.

10400096 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 10400096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12111120).

10400096 is an abundant number, since it is smaller than the sum of its proper divisors (13822144).

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

10400096 is a wasteful number, since it uses less digits than its factorization.

10400096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10400096 is about 3224.9179834532. The cubic root of 10400096 is about 218.2792482365.

Adding to 10400096 its reverse (69000401), we get a palindrome (79400497).

The spelling of 10400096 in words is "ten million, four hundred thousand, ninety-six".