284916096 has 128 divisors (see below), whose sum is σ = 885360000. Its totient is φ = 89952768.

The previous prime is 284916091. The next prime is 284916101. The reversal of 284916096 is 690619482.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (284916091) and next prime (284916101).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284916091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63495 + ... + 67833.

It is an arithmetic number, because the mean of its divisors is an integer number (6916875).

Almost surely, 2^284916096 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 284916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442680000).

284916096 is an abundant number, since it is smaller than the sum of its proper divisors (600443904).

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

284916096 is a wasteful number, since it uses less digits than its factorization.

284916096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 284916096 is about 16879.4578111976. The cubic root of 284916096 is about 658.0198501663.

The spelling of 284916096 in words is "two hundred eighty-four million, nine hundred sixteen thousand, ninety-six".