285605320 has 192 divisors, whose sum is σ = 879076800. Its totient is φ = 82091520.

The previous prime is 285605317. The next prime is 285605339. The reversal of 285605320 is 23506582.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279771 + ... + 280789.

It is an arithmetic number, because the mean of its divisors is an integer number (4578525).

Almost surely, 2^285605320 is an apocalyptic number.

285605320 is a gapful number since it is divisible by the number (20) 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 285605320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439538400).

285605320 is an abundant number, since it is smaller than the sum of its proper divisors (593471480).

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

285605320 is a wasteful number, since it uses less digits than its factorization.

285605320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 285605320 is about 16899.8615378943. The cubic root of 285605320 is about 658.5500154478.

It can be divided in two parts, 285605 and 320, that multiplied together give a square (91393600 = 9560²).

The spelling of 285605320 in words is "two hundred eighty-five million, six hundred five thousand, three hundred twenty".