11953680 has 40 divisors (see below), whose sum is σ = 37057152. Its totient is φ = 3187584.

The previous prime is 11953657. The next prime is 11953681. The reversal of 11953680 is 8635911.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (11953681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24664 + ... + 25143.

Almost surely, 2^11953680 is an apocalyptic number.

11953680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11953680 is an abundant number, since it is smaller than the sum of its proper divisors (25103472).

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

11953680 is a wasteful number, since it uses less digits than its factorization.

11953680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49823 (or 49817 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 11953680 is about 3457.4094348226. The cubic root of 11953680 is about 228.6478955466.

The spelling of 11953680 in words is "eleven million, nine hundred fifty-three thousand, six hundred eighty".