11538480 has 80 divisors (see below), whose sum is σ = 36140544. Its totient is φ = 3045120.

The previous prime is 11538473. The next prime is 11538481. The reversal of 11538480 is 8483511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11538481) 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, 31257 + ... + 31623.

Almost surely, 2^11538480 is an apocalyptic number.

11538480 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 11538480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18070272).

11538480 is an abundant number, since it is smaller than the sum of its proper divisors (24602064).

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

11538480 is a wasteful number, since it uses less digits than its factorization.

11538480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 11538480 is about 3396.8338198976. The cubic root of 11538480 is about 225.9693487029.

The spelling of 11538480 in words is "eleven million, five hundred thirty-eight thousand, four hundred eighty".