284997906 has 64 divisors (see below), whose sum is σ = 660787200. Its totient is φ = 90937728.

The previous prime is 284997901. The next prime is 284997943. The reversal of 284997906 is 609799482.

284997906 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (284997901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198166 + ... + 199598.

It is an arithmetic number, because the mean of its divisors is an integer number (10324800).

Almost surely, 2^284997906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284997906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330393600).

284997906 is an abundant number, since it is smaller than the sum of its proper divisors (375789294).

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

284997906 is a wasteful number, since it uses less digits than its factorization.

284997906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 284997906 is about 16881.8809970927. The cubic root of 284997906 is about 658.0828247906.

The spelling of 284997906 in words is "two hundred eighty-four million, nine hundred ninety-seven thousand, nine hundred six".