285133680 has 240 divisors, whose sum is σ = 1057807296. Its totient is φ = 68382720.

The previous prime is 285133679. The next prime is 285133687. The reversal of 285133680 is 86331582.

285133680 is a `hidden beast` number, since 285 + 13 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285133687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383389 + ... + 384131.

Almost surely, 2^285133680 is an apocalyptic number.

285133680 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 285133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528903648).

285133680 is an abundant number, since it is smaller than the sum of its proper divisors (772673616).

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

285133680 is a wasteful number, since it uses less digits than its factorization.

285133680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 285133680 is about 16885.9018118666. The cubic root of 285133680 is about 658.1873125200.

The spelling of 285133680 in words is "two hundred eighty-five million, one hundred thirty-three thousand, six hundred eighty".