11540880 has 200 divisors, whose sum is σ = 43481592. Its totient is φ = 2820096.

The previous prime is 11540863. The next prime is 11540953. The reversal of 11540880 is 8804511.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 11209104 = 576^2 + 3348^2 .

It is a super-2 number, since 2×11540880² = 266383822348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84172 + ... + 84308.

Almost surely, 2^11540880 is an apocalyptic number.

11540880 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 11540880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21740796).

11540880 is an abundant number, since it is smaller than the sum of its proper divisors (31940712).

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

11540880 is a wasteful number, since it uses less digits than its factorization.

11540880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11540880 is about 3397.1870716815. The cubic root of 11540880 is about 225.9850147999.

The spelling of 11540880 in words is "eleven million, five hundred forty thousand, eight hundred eighty".