11291400 has 240 divisors, whose sum is σ = 42536340. Its totient is φ = 2764800.

The previous prime is 11291393. The next prime is 11291407. The reversal of 11291400 is 419211.

It is an interprime number because it is at equal distance from previous prime (11291393) and next prime (11291407).

It can be written as a sum of positive squares in 6 ways, for example, as 2683044 + 8608356 = 1638^2 + 2934^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11291407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 275380 + ... + 275420.

Almost surely, 2^11291400 is an apocalyptic number.

11291400 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 11291400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21268170).

11291400 is an abundant number, since it is smaller than the sum of its proper divisors (31244940).

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

11291400 is a wasteful number, since it uses less digits than its factorization.

11291400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11291400 is about 3360.2678464670. The cubic root of 11291400 is about 224.3447603456.

The spelling of 11291400 in words is "eleven million, two hundred ninety-one thousand, four hundred".