11641680 has 240 divisors, whose sum is σ = 44104320. Its totient is φ = 2737152.

The previous prime is 11641639. The next prime is 11641681. The reversal of 11641680 is 8614611.

11641680 is a `hidden beast` number, since 11 + 641 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×11641680³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11641681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314622 + ... + 314658.

It is an arithmetic number, because the mean of its divisors is an integer number (183768).

Almost surely, 2^11641680 is an apocalyptic number.

11641680 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 11641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052160).

11641680 is an abundant number, since it is smaller than the sum of its proper divisors (32462640).

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

11641680 is a wasteful number, since it uses less digits than its factorization.

11641680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

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

The square root of 11641680 is about 3411.9906213236. The cubic root of 11641680 is about 226.6410390095.

It can be divided in two parts, 11641 and 680, that added together give a palindrome (12321).

The spelling of 11641680 in words is "eleven million, six hundred forty-one thousand, six hundred eighty".