11629416 has 32 divisors (see below), whose sum is σ = 29275200. Its totient is φ = 3849600.

The previous prime is 11629403. The next prime is 11629447. The reversal of 11629416 is 61492611.

It is a happy number.

11629416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11629416³ (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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, 2020 + ... + 5228.

It is an arithmetic number, because the mean of its divisors is an integer number (914850).

Almost surely, 2^11629416 is an apocalyptic number.

It is an amenable number.

11629416 is an abundant number, since it is smaller than the sum of its proper divisors (17645784).

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

11629416 is a wasteful number, since it uses less digits than its factorization.

11629416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3365 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 11629416 is about 3410.1929564176. The cubic root of 11629416 is about 226.5614255771.

The spelling of 11629416 in words is "eleven million, six hundred twenty-nine thousand, four hundred sixteen".