11947488 has 96 divisors (see below), whose sum is σ = 37449216. Its totient is φ = 3260928.

The previous prime is 11947483. The next prime is 11947489. The reversal of 11947488 is 88474911.

11947488 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 tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11947483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15070 + ... + 15842.

It is an arithmetic number, because the mean of its divisors is an integer number (390096).

Almost surely, 2^11947488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11947488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18724608).

11947488 is an abundant number, since it is smaller than the sum of its proper divisors (25501728).

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

11947488 is a wasteful number, since it uses less digits than its factorization.

11947488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 11947488 is about 3456.5138506883. The cubic root of 11947488 is about 228.6084088976.

The spelling of 11947488 in words is "eleven million, nine hundred forty-seven thousand, four hundred eighty-eight".