1261008 has 100 divisors (see below), whose sum is σ = 4201120. Its totient is φ = 357696.

The previous prime is 1260991. The next prime is 1261033. The reversal of 1261008 is 8001621.

1261008 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9003 + ... + 9141.

2^1261008 is an apocalyptic number.

1261008 is a gapful number since it is divisible by the number (18) 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 1261008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100560).

1261008 is an abundant number, since it is smaller than the sum of its proper divisors (2940112).

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

1261008 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (1261007) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (166).

1261008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1261008 is about 1122.9461251547. The cubic root of 1261008 is about 108.0370243430.

Adding to 1261008 its reverse (8001621), we get a palindrome (9262629).

The spelling of 1261008 in words is "one million, two hundred sixty-one thousand, eight".