268333632 has 168 divisors, whose sum is σ = 894234432. Its totient is φ = 75340800.

The previous prime is 268333621. The next prime is 268333633. The reversal of 268333632 is 236333862.

268333632 is a `hidden beast` number, since 268 + 33 + 363 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×268333632² = 144005876124622848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (268333633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245407 + ... + 246497.

It is an arithmetic number, because the mean of its divisors is an integer number (5322824).

Almost surely, 2^268333632 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 268333632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447117216).

268333632 is an abundant number, since it is smaller than the sum of its proper divisors (625900800).

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

268333632 is a wasteful number, since it uses less digits than its factorization.

268333632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1164 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 268333632 is about 16380.8922833892. The cubic root of 268333632 is about 644.9980025177.

It can be divided in two parts, 2683 and 33632, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 268333632 in words is "two hundred sixty-eight million, three hundred thirty-three thousand, six hundred thirty-two".