11977560 has 192 divisors, whose sum is σ = 45864000. Its totient is φ = 2709504.

The previous prime is 11977541. The next prime is 11977579. The reversal of 11977560 is 6577911.

11977560 is a `hidden beast` number, since 1 + 1 + 97 + 7 + 560 = 666.

11977560 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 an interprime number because it is at equal distance from previous prime (11977541) and next prime (11977579).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123432 + ... + 123528.

It is an arithmetic number, because the mean of its divisors is an integer number (238875).

Almost surely, 2^11977560 is an apocalyptic number.

11977560 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 11977560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932000).

11977560 is an abundant number, since it is smaller than the sum of its proper divisors (33886440).

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

11977560 is a wasteful number, since it uses less digits than its factorization.

11977560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 11977560 is about 3460.8611645080. The cubic root of 11977560 is about 228.8000517548.

The spelling of 11977560 in words is "eleven million, nine hundred seventy-seven thousand, five hundred sixty".