268564032 has 224 divisors, whose sum is σ = 877824000. Its totient is φ = 79833600.

The previous prime is 268564027. The next prime is 268564187. The reversal of 268564032 is 230465862.

268564032 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 640 + 3 + 2 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349469 + ... + 1349667.

Almost surely, 2^268564032 is an apocalyptic number.

268564032 is a gapful number since it is divisible by the number (22) 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 268564032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438912000).

268564032 is an abundant number, since it is smaller than the sum of its proper divisors (609259968).

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

268564032 is a wasteful number, since it uses less digits than its factorization.

268564032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 268564032 is about 16387.9233583758. The cubic root of 268564032 is about 645.1825551408.

The spelling of 268564032 in words is "two hundred sixty-eight million, five hundred sixty-four thousand, thirty-two".