11931480 has 192 divisors, whose sum is σ = 44478720. Its totient is φ = 2745600.

The previous prime is 11931461. The next prime is 11931509. The reversal of 11931480 is 8413911.

11931480 = 346² + 347² + ... + 425².

11931480 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91015 + ... + 91145.

It is an arithmetic number, because the mean of its divisors is an integer number (231660).

Almost surely, 2^11931480 is an apocalyptic number.

11931480 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 11931480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22239360).

11931480 is an abundant number, since it is smaller than the sum of its proper divisors (32547240).

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

11931480 is a wasteful number, since it uses less digits than its factorization.

11931480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11931480 is about 3454.1974465858. The cubic root of 11931480 is about 228.5062619284.

The spelling of 11931480 in words is "eleven million, nine hundred thirty-one thousand, four hundred eighty".