286856640 has 672 divisors, whose sum is σ = 1278111744. Its totient is φ = 59719680.

The previous prime is 286856599. The next prime is 286856641. The reversal of 286856640 is 46658682.

286856640 is a `hidden beast` number, since 2 + 86 + 8 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286856641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9253425 + ... + 9253455.

It is an arithmetic number, because the mean of its divisors is an integer number (1901952).

Almost surely, 2^286856640 is an apocalyptic number.

286856640 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 286856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639055872).

286856640 is an abundant number, since it is smaller than the sum of its proper divisors (991255104).

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

286856640 is a wasteful number, since it uses less digits than its factorization.

286856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 286856640 is about 16936.8426809722. The cubic root of 286856640 is about 659.5103806686.

It can be divided in two parts, 286856 and 640, that added together give a cube (287496 = 66³).

The spelling of 286856640 in words is "two hundred eighty-six million, eight hundred fifty-six thousand, six hundred forty".