268753632 has 288 divisors, whose sum is σ = 900910080. Its totient is φ = 69672960.

The previous prime is 268753631. The next prime is 268753657. The reversal of 268753632 is 236357862.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268753631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2770608 + ... + 2770704.

It is an arithmetic number, because the mean of its divisors is an integer number (3128160).

Almost surely, 2^268753632 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 268753632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450455040).

268753632 is an abundant number, since it is smaller than the sum of its proper divisors (632156448).

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

268753632 is a wasteful number, since it uses less digits than its factorization.

268753632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 268753632 is about 16393.7070853422. The cubic root of 268753632 is about 645.3343474170.

The spelling of 268753632 in words is "two hundred sixty-eight million, seven hundred fifty-three thousand, six hundred thirty-two".