11879280 has 120 divisors (see below), whose sum is σ = 45613152. Its totient is φ = 2714112.

The previous prime is 11879269. The next prime is 11879291. The reversal of 11879280 is 8297811.

It is an interprime number because it is at equal distance from previous prime (11879269) and next prime (11879291).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×11879280² = 282234586636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3862 + ... + 6218.

Almost surely, 2^11879280 is an apocalyptic number.

11879280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11879280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22806576).

11879280 is an abundant number, since it is smaller than the sum of its proper divisors (33733872).

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

11879280 is a wasteful number, since it uses less digits than its factorization.

11879280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11879280 is about 3446.6331397467. The cubic root of 11879280 is about 228.1725379132.

The spelling of 11879280 in words is "eleven million, eight hundred seventy-nine thousand, two hundred eighty".