11626640 has 80 divisors (see below), whose sum is σ = 29248128. Its totient is φ = 4282368.

The previous prime is 11626607. The next prime is 11626673. The reversal of 11626640 is 4662611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11626607) and next prime (11626673).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112829 + ... + 112931.

Almost surely, 2^11626640 is an apocalyptic number.

11626640 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 11626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064).

11626640 is an abundant number, since it is smaller than the sum of its proper divisors (17621488).

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

11626640 is a wasteful number, since it uses less digits than its factorization.

11626640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 11626640 is about 3409.7859170335. The cubic root of 11626640 is about 226.5433970259.

The spelling of 11626640 in words is "eleven million, six hundred twenty-six thousand, six hundred forty".