11687940 has 72 divisors (see below), whose sum is σ = 38683008. Its totient is φ = 2832960.

The previous prime is 11687939. The next prime is 11687953. The reversal of 11687940 is 4978611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11687895 and 11687904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972 + ... + 4931.

It is an arithmetic number, because the mean of its divisors is an integer number (537264).

Almost surely, 2^11687940 is an apocalyptic number.

11687940 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 11687940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19341504).

11687940 is an abundant number, since it is smaller than the sum of its proper divisors (26995068).

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

11687940 is a wasteful number, since it uses less digits than its factorization.

11687940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5929 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11687940 is about 3418.7629341620. The cubic root of 11687940 is about 226.9408398944.

The spelling of 11687940 in words is "eleven million, six hundred eighty-seven thousand, nine hundred forty".