10514816 has 64 divisors (see below), whose sum is σ = 23133600. Its totient is φ = 4730880.

The previous prime is 10514813. The next prime is 10514827. The reversal of 10514816 is 61841501.

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

It is a super-2 number, since 2×10514816² = 221122711027712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10514813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118100 + ... + 118188.

Almost surely, 2^10514816 is an apocalyptic number.

10514816 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 10514816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11566800).

10514816 is an abundant number, since it is smaller than the sum of its proper divisors (12618784).

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

10514816 is an equidigital number, since it uses as much as digits as its factorization.

10514816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 10514816 is about 3242.6557017358. The cubic root of 10514816 is about 219.0789037562.

The spelling of 10514816 in words is "ten million, five hundred fourteen thousand, eight hundred sixteen".