282572640 has 432 divisors, whose sum is σ = 1182740832. Its totient is φ = 60162048.

The previous prime is 282572639. The next prime is 282572669. The reversal of 282572640 is 46275282.

282572640 is a `hidden beast` number, since 2 + 8 + 2 + 5 + 7 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 282572595 and 282572604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2913072 + ... + 2913168.

It is an arithmetic number, because the mean of its divisors is an integer number (2737826).

Almost surely, 2^282572640 is an apocalyptic number.

282572640 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 282572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591370416).

282572640 is an abundant number, since it is smaller than the sum of its proper divisors (900168192).

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

282572640 is a wasteful number, since it uses less digits than its factorization.

282572640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 282572640 is about 16809.8970847534. The cubic root of 282572640 is about 656.2107938482.

The spelling of 282572640 in words is "two hundred eighty-two million, five hundred seventy-two thousand, six hundred forty".