205881264 has 140 divisors (see below), whose sum is σ = 630223800. Its totient is φ = 64945152.

The previous prime is 205881259. The next prime is 205881281. The reversal of 205881264 is 462188502.

205881264 is a `hidden beast` number, since 2 + 0 + 588 + 12 + 64 = 666.

It is a super-3 number, since 3×205881264³ (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 221152 + ... + 222080.

Almost surely, 2^205881264 is an apocalyptic number.

205881264 is a gapful number since it is divisible by the number (24) 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 205881264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315111900).

205881264 is an abundant number, since it is smaller than the sum of its proper divisors (424342536).

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

205881264 is an equidigital number, since it uses as much as digits as its factorization.

205881264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 205881264 is about 14348.5631336382. The cubic root of 205881264 is about 590.4805660429.

The spelling of 205881264 in words is "two hundred five million, eight hundred eighty-one thousand, two hundred sixty-four".