11987040 has 192 divisors, whose sum is σ = 43436736. Its totient is φ = 2752512.

The previous prime is 11987033. The next prime is 11987051. The reversal of 11987040 is 4078911.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11986989 and 11987007.

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 31 ways as a sum of consecutive naturals, for example, 106024 + ... + 106136.

It is an arithmetic number, because the mean of its divisors is an integer number (226233).

Almost surely, 2^11987040 is an apocalyptic number.

11987040 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 11987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718368).

11987040 is an abundant number, since it is smaller than the sum of its proper divisors (31449696).

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

11987040 is a wasteful number, since it uses less digits than its factorization.

11987040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11987040 is about 3462.2304949266. The cubic root of 11987040 is about 228.8603993964.

The spelling of 11987040 in words is "eleven million, nine hundred eighty-seven thousand, forty".