11879680 has 36 divisors (see below), whose sum is σ = 28458612. Its totient is φ = 4751360.

The previous prime is 11879663. The next prime is 11879683. The reversal of 11879680 is 8697811.

It can be written as a sum of positive squares in 2 ways, for example, as 7750656 + 4129024 = 2784^2 + 2032^2 .

It is a super-2 number, since 2×11879680² = 282253593804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11879683) 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, 3361 + ... + 5920.

It is an arithmetic number, because the mean of its divisors is an integer number (790517).

Almost surely, 2^11879680 is an apocalyptic number.

11879680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11879680 is an abundant number, since it is smaller than the sum of its proper divisors (16578932).

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

11879680 is an frugal number, since it uses more digits than its factorization.

11879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9302 (or 9288 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The square root of 11879680 is about 3446.6911669020. The cubic root of 11879680 is about 228.1750988987.

The spelling of 11879680 in words is "eleven million, eight hundred seventy-nine thousand, six hundred eighty".