11151360 has 216 divisors, whose sum is σ = 42481530. Its totient is φ = 2703360.

The previous prime is 11151353. The next prime is 11151377. The reversal of 11151360 is 6315111.

11151360 = 423² + 424² + ... + 477².

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 1115136 = 3168^2 + 1056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1013755 + ... + 1013765.

Almost surely, 2^11151360 is an apocalyptic number.

11151360 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 11151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21240765).

11151360 is an abundant number, since it is smaller than the sum of its proper divisors (31330170).

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

11151360 is a wasteful number, since it uses less digits than its factorization.

11151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 11151360 is about 3339.3652091378. The cubic root of 11151360 is about 223.4134313325.

Multiplying 11151360 by its product of nonzero digits (90), we get a square (1003622400 = 31680²).

11151360 divided by its product of nonzero digits (90) gives a square (123904 = 352²).

Adding to 11151360 its reverse (6315111), we get a palindrome (17466471).

It can be divided in two parts, 11151 and 360, that added together give a palindrome (11511).

The spelling of 11151360 in words is "eleven million, one hundred fifty-one thousand, three hundred sixty".