286112640 has 512 divisors, whose sum is σ = 1128038400. Its totient is φ = 60825600.

The previous prime is 286112633. The next prime is 286112647. The reversal of 286112640 is 46211682.

It is an interprime number because it is at equal distance from previous prime (286112633) and next prime (286112647).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 286112598 and 286112607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286112647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9229425 + ... + 9229455.

It is an arithmetic number, because the mean of its divisors is an integer number (2203200).

Almost surely, 2^286112640 is an apocalyptic number.

286112640 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 286112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564019200).

286112640 is an abundant number, since it is smaller than the sum of its proper divisors (841925760).

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

286112640 is a wasteful number, since it uses less digits than its factorization.

286112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 286112640 is about 16914.8644688629. The cubic root of 286112640 is about 658.9397117031.

The spelling of 286112640 in words is "two hundred eighty-six million, one hundred twelve thousand, six hundred forty".