268053624 has 80 divisors (see below), whose sum is σ = 753152400. Its totient is φ = 89071488.

The previous prime is 268053623. The next prime is 268053629. The reversal of 268053624 is 426350862.

268053624 is a `hidden beast` number, since 26 + 8 + 0 + 5 + 3 + 624 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268053623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 368349 + ... + 369075.

It is an arithmetic number, because the mean of its divisors is an integer number (9414405).

Almost surely, 2^268053624 is an apocalyptic number.

268053624 is a gapful number since it is divisible by the number (24) 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 268053624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376576200).

268053624 is an abundant number, since it is smaller than the sum of its proper divisors (485098776).

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

268053624 is a wasteful number, since it uses less digits than its factorization.

268053624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1301 counting only the distinct ones).

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

The square root of 268053624 is about 16372.3432653973. The cubic root of 268053624 is about 644.7735711428.

The spelling of 268053624 in words is "two hundred sixty-eight million, fifty-three thousand, six hundred twenty-four".