11734880 has 48 divisors (see below), whose sum is σ = 28141344. Its totient is φ = 4623360.

The previous prime is 11734871. The next prime is 11734903. The reversal of 11734880 is 8843711.

It is a super-2 number, since 2×11734880² = 275414817228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10844 + ... + 11876.

It is an arithmetic number, because the mean of its divisors is an integer number (586278).

Almost surely, 2^11734880 is an apocalyptic number.

11734880 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 11734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14070672).

11734880 is an abundant number, since it is smaller than the sum of its proper divisors (16406464).

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

11734880 is a wasteful number, since it uses less digits than its factorization.

11734880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 11734880 is about 3425.6211115650. The cubic root of 11734880 is about 227.2442402113.

The spelling of 11734880 in words is "eleven million, seven hundred thirty-four thousand, eight hundred eighty".