11485296 has 60 divisors (see below), whose sum is σ = 32846112. Its totient is φ = 3744768.

The previous prime is 11485277. The next prime is 11485339. The reversal of 11485296 is 69258411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11485296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5920 + ... + 7616.

Almost surely, 2^11485296 is an apocalyptic number.

11485296 is a gapful number since it is divisible by the number (16) 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 11485296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16423056).

11485296 is an abundant number, since it is smaller than the sum of its proper divisors (21360816).

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

11485296 is a wasteful number, since it uses less digits than its factorization.

11485296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1749 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 11485296 is about 3388.9963115943. The cubic root of 11485296 is about 225.6216291319.

It can be divided in two parts, 11485 and 296, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 11485296 in words is "eleven million, four hundred eighty-five thousand, two hundred ninety-six".