10284516 has 72 divisors (see below), whose sum is σ = 29345120. Its totient is φ = 3112560.

The previous prime is 10284511. The next prime is 10284517. The reversal of 10284516 is 61548201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10284516.

It is not an unprimeable number, because it can be changed into a prime (10284511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12675 + ... + 13461.

Almost surely, 2^10284516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10284516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14672560).

10284516 is an abundant number, since it is smaller than the sum of its proper divisors (19060604).

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

10284516 is a wasteful number, since it uses less digits than its factorization.

10284516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10284516 is about 3206.9480818997. The cubic root of 10284516 is about 217.4676289517.

The spelling of 10284516 in words is "ten million, two hundred eighty-four thousand, five hundred sixteen".