285675520 has 208 divisors, whose sum is σ = 784370160. Its totient is φ = 99090432.

The previous prime is 285675517. The next prime is 285675527. The reversal of 285675520 is 25576582.

It can be written as a sum of positive squares in 8 ways, for example, as 200704 + 285474816 = 448^2 + 16896^2 .

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×285675520² = 163221005454540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285675527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7720942 + ... + 7720978.

Almost surely, 2^285675520 is an apocalyptic number.

285675520 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 285675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392185080).

285675520 is an abundant number, since it is smaller than the sum of its proper divisors (498694640).

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

285675520 is a wasteful number, since it uses less digits than its factorization.

285675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The square root of 285675520 is about 16901.9383503786. The cubic root of 285675520 is about 658.6039668517.

The spelling of 285675520 in words is "two hundred eighty-five million, six hundred seventy-five thousand, five hundred twenty".