286675840 has 128 divisors (see below), whose sum is σ = 765832320. Its totient is φ = 101713920.

The previous prime is 286675799. The next prime is 286675843. The reversal of 286675840 is 48576682.

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

It is a super-3 number, since 3×286675840³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286675843) 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, 302247 + ... + 303193.

It is an arithmetic number, because the mean of its divisors is an integer number (5983065).

Almost surely, 2^286675840 is an apocalyptic number.

286675840 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 286675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382916160).

286675840 is an abundant number, since it is smaller than the sum of its proper divisors (479156480).

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

286675840 is a wasteful number, since it uses less digits than its factorization.

286675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 286675840 is about 16931.5043631687. The cubic root of 286675840 is about 659.3717928162.

The spelling of 286675840 in words is "two hundred eighty-six million, six hundred seventy-five thousand, eight hundred forty".