11671506 has 96 divisors (see below), whose sum is σ = 32996160. Its totient is φ = 3024000.

The previous prime is 11671493. The next prime is 11671507. The reversal of 11671506 is 60517611.

11671506 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 Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11671506.

It is not an unprimeable number, because it can be changed into a prime (11671507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28906 + ... + 29306.

It is an arithmetic number, because the mean of its divisors is an integer number (343710).

Almost surely, 2^11671506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11671506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498080).

11671506 is an abundant number, since it is smaller than the sum of its proper divisors (21324654).

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

11671506 is a wasteful number, since it uses less digits than its factorization.

11671506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11671506 is about 3416.3585877364. The cubic root of 11671506 is about 226.8344255014.

The spelling of 11671506 in words is "eleven million, six hundred seventy-one thousand, five hundred six".