268632000 has 672 divisors, whose sum is σ = 1211543424. Its totient is φ = 55296000.

The previous prime is 268631999. The next prime is 268632031. The reversal of 268632000 is 236862.

268632000 is a `hidden beast` number, since 26 + 8 + 632 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6551980 + ... + 6552020.

It is an arithmetic number, because the mean of its divisors is an integer number (1802892).

Almost surely, 2^268632000 is an apocalyptic number.

268632000 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 268632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605771712).

268632000 is an abundant number, since it is smaller than the sum of its proper divisors (942911424).

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

268632000 is a wasteful number, since it uses less digits than its factorization.

268632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 268632000 is about 16389.9969493591. The cubic root of 268632000 is about 645.2369780020.

Adding to 268632000 its reverse (236862), we get a palindrome (268868862).

The spelling of 268632000 in words is "two hundred sixty-eight million, six hundred thirty-two thousand".