10332816 has 80 divisors (see below), whose sum is σ = 29789760. Its totient is φ = 3064320.

The previous prime is 10332799. The next prime is 10332823. The reversal of 10332816 is 61823301.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 17811 + ... + 18381.

It is an arithmetic number, because the mean of its divisors is an integer number (372372).

Almost surely, 2^10332816 is an apocalyptic number.

10332816 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 10332816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894880).

10332816 is an abundant number, since it is smaller than the sum of its proper divisors (19456944).

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

10332816 is a wasteful number, since it uses less digits than its factorization.

10332816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10332816 is about 3214.4697852056. The cubic root of 10332816 is about 217.8075343053.

The spelling of 10332816 in words is "ten million, three hundred thirty-two thousand, eight hundred sixteen".