11985440 has 48 divisors (see below), whose sum is σ = 28545048. Its totient is φ = 4755456.

The previous prime is 11985427. The next prime is 11985451. The reversal of 11985440 is 4458911.

It can be written as a sum of positive squares in 4 ways, for example, as 9759376 + 2226064 = 3124^2 + 1492^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11985397 and 11985406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27464 + ... + 27896.

Almost surely, 2^11985440 is an apocalyptic number.

11985440 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 11985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14272524).

11985440 is an abundant number, since it is smaller than the sum of its proper divisors (16559608).

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

11985440 is a wasteful number, since it uses less digits than its factorization.

11985440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 11985440 is about 3461.9994222992. Note that the first 3 decimals coincide. The cubic root of 11985440 is about 228.8502163728.

11985440 divided by its sum of digits (32) gives a triangular number (374545 = T₈₆₅).

The spelling of 11985440 in words is "eleven million, nine hundred eighty-five thousand, four hundred forty".