11670624 has 108 divisors (see below), whose sum is σ = 38653524. Its totient is φ = 3330432.

The previous prime is 11670599. The next prime is 11670629. The reversal of 11670624 is 42607611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11670629) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13699 + ... + 14525.

It is an arithmetic number, because the mean of its divisors is an integer number (357903).

Almost surely, 2^11670624 is an apocalyptic number.

11670624 is a gapful number since it is divisible by the number (14) 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 11670624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19326762).

11670624 is an abundant number, since it is smaller than the sum of its proper divisors (26982900).

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

11670624 is a wasteful number, since it uses less digits than its factorization.

11670624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 11670624 is about 3416.2295004873. The cubic root of 11670624 is about 226.8287115000.

The spelling of 11670624 in words is "eleven million, six hundred seventy thousand, six hundred twenty-four".