10546816 has 64 divisors (see below), whose sum is σ = 24480000. Its totient is φ = 4432896.

The previous prime is 10546793. The next prime is 10546819. The reversal of 10546816 is 61864501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10546816² = 222470655475712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10546819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70710 + ... + 70858.

It is an arithmetic number, because the mean of its divisors is an integer number (382500).

Almost surely, 2^10546816 is an apocalyptic number.

10546816 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 10546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12240000).

10546816 is an abundant number, since it is smaller than the sum of its proper divisors (13933184).

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

10546816 is an equidigital number, since it uses as much as digits as its factorization.

10546816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 10546816 is about 3247.5861805347. The cubic root of 10546816 is about 219.3009214359.

It can be divided in two parts, 105 and 46816, that multiplied together give a triangular number (4915680 = T₃₁₃₅).

The spelling of 10546816 in words is "ten million, five hundred forty-six thousand, eight hundred sixteen".