268617480 has 128 divisors (see below), whose sum is σ = 838840320. Its totient is φ = 68739840.

The previous prime is 268617473. The next prime is 268617491. The reversal of 268617480 is 84716862.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606139 + ... + 606581.

It is an arithmetic number, because the mean of its divisors is an integer number (6553440).

Almost surely, 2^268617480 is an apocalyptic number.

268617480 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 268617480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419420160).

268617480 is an abundant number, since it is smaller than the sum of its proper divisors (570222840).

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

268617480 is a wasteful number, since it uses less digits than its factorization.

268617480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 268617480 is about 16389.5539902708. The cubic root of 268617480 is about 645.2253524204.

The spelling of 268617480 in words is "two hundred sixty-eight million, six hundred seventeen thousand, four hundred eighty".