11632896 has 216 divisors, whose sum is σ = 40176864. Its totient is φ = 3317760.

The previous prime is 11632861. The next prime is 11632909. The reversal of 11632896 is 69823611.

11632896 is a `hidden beast` number, since 11 + 632 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11632896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684280 + ... + 684296.

It is an arithmetic number, because the mean of its divisors is an integer number (186004).

It is a vampire number, since it can be written as 1683 ⋅ 6912 (with its own digits).

Almost surely, 2^11632896 is an apocalyptic number.

11632896 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 11632896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088432).

11632896 is an abundant number, since it is smaller than the sum of its proper divisors (28543968).

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

11632896 is an equidigital number, since it uses as much as digits as its factorization.

11632896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 33 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11632896 is about 3410.7031533102. The cubic root of 11632896 is about 226.5840221584.

The spelling of 11632896 in words is "eleven million, six hundred thirty-two thousand, eight hundred ninety-six".