11879406 has 64 divisors (see below), whose sum is σ = 32924160. Its totient is φ = 3084480.

The previous prime is 11879393. The next prime is 11879411. The reversal of 11879406 is 60497811.

It is a super-2 number, since 2×11879406² = 282240573825672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2730 + ... + 5586.

It is an arithmetic number, because the mean of its divisors is an integer number (514440).

Almost surely, 2^11879406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11879406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16462080).

11879406 is an abundant number, since it is smaller than the sum of its proper divisors (21044754).

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

11879406 is a wasteful number, since it uses less digits than its factorization.

11879406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11879406 is about 3446.6514184060. The cubic root of 11879406 is about 228.1733446298.

It can be divided in two parts, 118 and 79406, that added together give a square (79524 = 282²).

The spelling of 11879406 in words is "eleven million, eight hundred seventy-nine thousand, four hundred six".