268549632 has 120 divisors (see below), whose sum is σ = 834858024. Its totient is φ = 82612224.

The previous prime is 268549627. The next prime is 268549661. The reversal of 268549632 is 236945862.

268549632 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 4 + 9 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57663 + ... + 62145.

Almost surely, 2^268549632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268549632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417429012).

268549632 is an abundant number, since it is smaller than the sum of its proper divisors (566308392).

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

268549632 is a wasteful number, since it uses less digits than its factorization.

268549632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 4501 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 268549632 is about 16387.4840045689. The cubic root of 268549632 is about 645.1710236949.

The spelling of 268549632 in words is "two hundred sixty-eight million, five hundred forty-nine thousand, six hundred thirty-two".