11623008 has 48 divisors (see below), whose sum is σ = 31265136. Its totient is φ = 3778560.

The previous prime is 11622973. The next prime is 11623013. The reversal of 11623008 is 80032611.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2460 + ... + 5412.

It is an arithmetic number, because the mean of its divisors is an integer number (651357).

Almost surely, 2^11623008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11623008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15632568).

11623008 is an abundant number, since it is smaller than the sum of its proper divisors (19642128).

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

11623008 is a wasteful number, since it uses less digits than its factorization.

11623008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11623008 is about 3409.2532906782. The cubic root of 11623008 is about 226.5198049044.

Adding to 11623008 its reverse (80032611), we get a palindrome (91655619).

The spelling of 11623008 in words is "eleven million, six hundred twenty-three thousand, eight".