268629120 has 192 divisors, whose sum is σ = 936819000. Its totient is φ = 70926336.

The previous prime is 268629113. The next prime is 268629131. The reversal of 268629120 is 21926862.

It is a happy number.

268629120 is a `hidden beast` number, since 2 + 6 + 8 + 629 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70157376 + 198471744 = 8376^2 + 14088^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×268629120² = 144323208223948800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 858084 + ... + 858396.

Almost surely, 2^268629120 is an apocalyptic number.

268629120 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 268629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468409500).

268629120 is an abundant number, since it is smaller than the sum of its proper divisors (668189880).

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

268629120 is a wasteful number, since it uses less digits than its factorization.

268629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 268629120 is about 16389.9090906570. The cubic root of 268629120 is about 645.2346721348.

The spelling of 268629120 in words is "two hundred sixty-eight million, six hundred twenty-nine thousand, one hundred twenty".