1268520 has 96 divisors (see below), whose sum is σ = 4289760. Its totient is φ = 297600.

The previous prime is 1268479. The next prime is 1268537. The reversal of 1268520 is 258621.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 40905 + ... + 40935.

It is an arithmetic number, because the mean of its divisors is an integer number (44685).

2^1268520 is an apocalyptic number.

1268520 is a gapful number since it is divisible by the number (10) 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 1268520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144880).

1268520 is an abundant number, since it is smaller than the sum of its proper divisors (3021240).

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

1268520 is a wasteful number, since it uses less digits than its factorization.

1268520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1268520 is about 1126.2859317243. The cubic root of 1268520 is about 108.2511302767.

It can be divided in two parts, 126 and 8520, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 1268520 in words is "one million, two hundred sixty-eight thousand, five hundred twenty".