11871840 has 48 divisors (see below), whose sum is σ = 37397808. Its totient is φ = 3165696.

The previous prime is 11871829. The next prime is 11871907. The reversal of 11871840 is 4817811.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 11871798 and 11871807.

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, 11887 + ... + 12846.

It is an arithmetic number, because the mean of its divisors is an integer number (779121).

Almost surely, 2^11871840 is an apocalyptic number.

11871840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11871840 is an abundant number, since it is smaller than the sum of its proper divisors (25525968).

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

11871840 is a wasteful number, since it uses less digits than its factorization.

11871840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24751 (or 24743 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 11871840 is about 3445.5536565260. The cubic root of 11871840 is about 228.1248931006.

The spelling of 11871840 in words is "eleven million, eight hundred seventy-one thousand, eight hundred forty".