1261000 has 64 divisors (see below), whose sum is σ = 3210480. Its totient is φ = 460800.

The previous prime is 1260991. The next prime is 1261033. The reversal of 1261000 is 1621.

It can be written as a sum of positive squares in 8 ways, for example, as 2116 + 1258884 = 46^2 + 1122^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 15 ways as a sum of consecutive naturals, for example, 12952 + ... + 13048.

2^1261000 is an apocalyptic number.

1261000 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 1261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605240).

1261000 is an abundant number, since it is smaller than the sum of its proper divisors (1949480).

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

1261000 is a wasteful number, since it uses less digits than its factorization.

1261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1261000 is about 1122.9425630904. The cubic root of 1261000 is about 108.0367958755.

Adding to 1261000 its reverse (1621), we get a palindrome (1262621).

The spelling of 1261000 in words is "one million, two hundred sixty-one thousand".