11261400 has 72 divisors (see below), whose sum is σ = 35167020. Its totient is φ = 2981120.

The previous prime is 11261359. The next prime is 11261407. The reversal of 11261400 is 416211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11261400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11261407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82132 + ... + 82268.

Almost surely, 2^11261400 is an apocalyptic number.

11261400 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 11261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583510).

11261400 is an abundant number, since it is smaller than the sum of its proper divisors (23905620).

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

11261400 is a wasteful number, since it uses less digits than its factorization.

11261400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11261400 is about 3355.8009476130. The cubic root of 11261400 is about 224.1458977240.

Adding to 11261400 its reverse (416211), we get a palindrome (11677611).

The spelling of 11261400 in words is "eleven million, two hundred sixty-one thousand, four hundred".