11461000 has 64 divisors (see below), whose sum is σ = 27359280. Its totient is φ = 4492800.

The previous prime is 11460989. The next prime is 11461001. The reversal of 11461000 is 16411.

It can be written as a sum of positive squares in 8 ways, for example, as 131044 + 11329956 = 362^2 + 3366^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11461001) by changing a digit.

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, 72922 + ... + 73078.

Almost surely, 2^11461000 is an apocalyptic number.

11461000 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 11461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13679640).

11461000 is an abundant number, since it is smaller than the sum of its proper divisors (15898280).

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

11461000 is a wasteful number, since it uses less digits than its factorization.

11461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 11461000 is about 3385.4098717881. The cubic root of 11461000 is about 225.4624234547.

Adding to 11461000 its reverse (16411), we get a palindrome (11477411).

The spelling of 11461000 in words is "eleven million, four hundred sixty-one thousand".