10814496 has 216 divisors, whose sum is σ = 38208240. Its totient is φ = 2661120.

The previous prime is 10814473. The next prime is 10814497. The reversal of 10814496 is 69441801.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10814497) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 569175 + ... + 569193.

It is an arithmetic number, because the mean of its divisors is an integer number (176890).

Almost surely, 2^10814496 is an apocalyptic number.

10814496 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 10814496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19104120).

10814496 is an abundant number, since it is smaller than the sum of its proper divisors (27393744).

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

10814496 is a wasteful number, since it uses less digits than its factorization.

10814496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 10814496 is about 3288.5401016256. The cubic root of 10814496 is about 221.1407414836.

The spelling of 10814496 in words is "ten million, eight hundred fourteen thousand, four hundred ninety-six".