11632416 has 24 divisors (see below), whose sum is σ = 30535344. Its totient is φ = 3877440.

The previous prime is 11632399. The next prime is 11632417. The reversal of 11632416 is 61423611.

11632416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11632417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60490 + ... + 60681.

It is an arithmetic number, because the mean of its divisors is an integer number (1272306).

Almost surely, 2^11632416 is an apocalyptic number.

11632416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11632416 is an abundant number, since it is smaller than the sum of its proper divisors (18902928).

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

11632416 is a wasteful number, since it uses less digits than its factorization.

11632416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121184 (or 121176 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 11632416 is about 3410.6327858625. The cubic root of 11632416 is about 226.5809056565.

The spelling of 11632416 in words is "eleven million, six hundred thirty-two thousand, four hundred sixteen".