286609680 has 480 divisors, whose sum is σ = 1202423040. Its totient is φ = 59719680.

The previous prime is 286609679. The next prime is 286609703. The reversal of 286609680 is 86906682.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3926124 + ... + 3926196.

It is an arithmetic number, because the mean of its divisors is an integer number (2505048).

Almost surely, 2^286609680 is an apocalyptic number.

286609680 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 286609680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601211520).

286609680 is an abundant number, since it is smaller than the sum of its proper divisors (915813360).

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

286609680 is a wasteful number, since it uses less digits than its factorization.

286609680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 286609680 is about 16929.5504961000. The cubic root of 286609680 is about 659.3210649115.

The spelling of 286609680 in words is "two hundred eighty-six million, six hundred nine thousand, six hundred eighty".