11652480 has 288 divisors, whose sum is σ = 48849840. Its totient is φ = 2506752.

The previous prime is 11652457. The next prime is 11652481. The reversal of 11652480 is 8425611.

11652480 is a `hidden beast` number, since 1 + 1 + 652 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11652481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 685432 + ... + 685448.

Almost surely, 2^11652480 is an apocalyptic number.

11652480 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 11652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24424920).

11652480 is an abundant number, since it is smaller than the sum of its proper divisors (37197360).

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

11652480 is a wasteful number, since it uses less digits than its factorization.

11652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11652480 is about 3413.5729082590. The cubic root of 11652480 is about 226.7111023994.

The spelling of 11652480 in words is "eleven million, six hundred fifty-two thousand, four hundred eighty".