11618640 has 200 divisors, whose sum is σ = 44291808. Its totient is φ = 2799360.

The previous prime is 11618639. The next prime is 11618641. The reversal of 11618640 is 4681611.

11618640 is a `hidden beast` number, since 1 + 1 + 6 + 18 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (11618639) and next prime (11618641).

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 (11618641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71199 + ... + 71361.

Almost surely, 2^11618640 is an apocalyptic number.

11618640 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 11618640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22145904).

11618640 is an abundant number, since it is smaller than the sum of its proper divisors (32673168).

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

11618640 is a wasteful number, since it uses less digits than its factorization.

11618640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11618640 is about 3408.6126209941. The cubic root of 11618640 is about 226.4914254901.

It can be divided in two parts, 1161 and 8640, that added together give a square (9801 = 99²).

The spelling of 11618640 in words is "eleven million, six hundred eighteen thousand, six hundred forty".