11977504 has 48 divisors (see below), whose sum is σ = 29405376. Its totient is φ = 4665600.

The previous prime is 11977451. The next prime is 11977519. The reversal of 11977504 is 40577911.

It is a self number, because there is not a number n which added to its sum of digits gives 11977504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 4894.

It is an arithmetic number, because the mean of its divisors is an integer number (612612).

Almost surely, 2^11977504 is an apocalyptic number.

11977504 is a gapful number since it is divisible by the number (14) 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 11977504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14702688).

11977504 is an abundant number, since it is smaller than the sum of its proper divisors (17427872).

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

11977504 is a wasteful number, since it uses less digits than its factorization.

11977504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The square root of 11977504 is about 3460.8530740267. The cubic root of 11977504 is about 228.7996951762.

The spelling of 11977504 in words is "eleven million, nine hundred seventy-seven thousand, five hundred four".