285652080 has 360 divisors, whose sum is σ = 1164470112. Its totient is φ = 61461504.

The previous prime is 285652079. The next prime is 285652091. The reversal of 285652080 is 80256582.

285652080 is a `hidden beast` number, since 2 + 8 + 56 + 520 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×285652080² = 163194221616652800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1819362 + ... + 1819518.

Almost surely, 2^285652080 is an apocalyptic number.

285652080 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 285652080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582235056).

285652080 is an abundant number, since it is smaller than the sum of its proper divisors (878818032).

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

285652080 is a wasteful number, since it uses less digits than its factorization.

285652080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 285652080 is about 16901.2449245610. The cubic root of 285652080 is about 658.5859532919.

The spelling of 285652080 in words is "two hundred eighty-five million, six hundred fifty-two thousand, eighty".