11553984 has 84 divisors (see below), whose sum is σ = 35688016. Its totient is φ = 3552768.

The previous prime is 11553943. The next prime is 11553989. The reversal of 11553984 is 48935511.

11553984 = 90³ + 91³ + ... + 102³.

11553984 is a `hidden beast` number, since 11 + 553 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11553989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6717 + ... + 8259.

Almost surely, 2^11553984 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 11553984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17844008).

11553984 is an abundant number, since it is smaller than the sum of its proper divisors (24134032).

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

11553984 is a wasteful number, since it uses less digits than its factorization.

11553984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1561 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 11553984 is about 3399.1151789841. The cubic root of 11553984 is about 226.0705134084.

The spelling of 11553984 in words is "eleven million, five hundred fifty-three thousand, nine hundred eighty-four".