11546880 has 144 divisors (see below), whose sum is σ = 38459904. Its totient is φ = 2949120.

The previous prime is 11546839. The next prime is 11546891. The reversal of 11546880 is 8864511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118992 + ... + 119088.

Almost surely, 2^11546880 is an apocalyptic number.

11546880 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 11546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19229952).

11546880 is an abundant number, since it is smaller than the sum of its proper divisors (26913024).

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

11546880 is an equidigital number, since it uses as much as digits as its factorization.

11546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 11546880 is about 3398.0700404789. The cubic root of 11546880 is about 226.0241705425.

The spelling of 11546880 in words is "eleven million, five hundred forty-six thousand, eight hundred eighty".