285876864 has 384 divisors, whose sum is σ = 1060375680. Its totient is φ = 74649600.

The previous prime is 285876863. The next prime is 285876883. The reversal of 285876864 is 468678582.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (5160960) is a multiple of the sum of its prime divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 285876864.

It is not an unprimeable number, because it can be changed into a prime (285876863) 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 47 ways as a sum of consecutive naturals, for example, 2830414 + ... + 2830514.

It is an arithmetic number, because the mean of its divisors is an integer number (2761395).

Almost surely, 2^285876864 is an apocalyptic number.

285876864 is a gapful number since it is divisible by the number (24) 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 285876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530187840).

285876864 is an abundant number, since it is smaller than the sum of its proper divisors (774498816).

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

285876864 is a wasteful number, since it uses less digits than its factorization.

285876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 285876864 is about 16907.8935411837. The cubic root of 285876864 is about 658.7586584586.

The spelling of 285876864 in words is "two hundred eighty-five million, eight hundred seventy-six thousand, eight hundred sixty-four".