11880672 has 24 divisors (see below), whose sum is σ = 31187016. Its totient is φ = 3960192.

The previous prime is 11880667. The next prime is 11880679. The reversal of 11880672 is 27608811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11880679) 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, 61783 + ... + 61974.

It is an arithmetic number, because the mean of its divisors is an integer number (1299459).

Almost surely, 2^11880672 is an apocalyptic number.

11880672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11880672 is an abundant number, since it is smaller than the sum of its proper divisors (19306344).

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

11880672 is a wasteful number, since it uses less digits than its factorization.

11880672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123770 (or 123762 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 11880672 is about 3446.8350700316. The cubic root of 11880672 is about 228.1814498946.

The spelling of 11880672 in words is "eleven million, eight hundred eighty thousand, six hundred seventy-two".