11642670 has 128 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 2747520.

The previous prime is 11642641. The next prime is 11642677. The reversal of 11642670 is 7624611.

11642670 is a `hidden beast` number, since 11 + 642 + 6 + 7 + 0 = 666.

11642670 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11642677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108757 + ... + 108863.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 2^11642670 is an apocalyptic number.

11642670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11642670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

11642670 is an abundant number, since it is smaller than the sum of its proper divisors (23193810).

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

11642670 is a wasteful number, since it uses less digits than its factorization.

11642670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

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

The square root of 11642670 is about 3412.1356948398. The cubic root of 11642670 is about 226.6474632905.

The spelling of 11642670 in words is "eleven million, six hundred forty-two thousand, six hundred seventy".