11408496 has 160 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 3072000.

The previous prime is 11408489. The next prime is 11408497. The reversal of 11408496 is 69480411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11408497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278236 + ... + 278276.

Almost surely, 2^11408496 is an apocalyptic number.

11408496 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 11408496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

11408496 is an abundant number, since it is smaller than the sum of its proper divisors (24589200).

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

11408496 is a wasteful number, since it uses less digits than its factorization.

11408496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 11408496 is about 3377.6465179175. The cubic root of 11408496 is about 225.1176076515.

The spelling of 11408496 in words is "eleven million, four hundred eight thousand, four hundred ninety-six".