21860640 has 288 divisors, whose sum is σ = 84913920. Its totient is φ = 5087232.

The previous prime is 21860609. The next prime is 21860647. The reversal of 21860640 is 4606812.

21860640 is a `hidden beast` number, since 2 + 18 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21860647) 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, 465097 + ... + 465143.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^21860640 is an apocalyptic number.

21860640 is a gapful number since it is divisible by the number (20) 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 21860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

21860640 is an abundant number, since it is smaller than the sum of its proper divisors (63053280).

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

21860640 is a wasteful number, since it uses less digits than its factorization.

21860640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 21860640 is about 4675.5363328713. The cubic root of 21860640 is about 279.6110245120.

It can be divided in two parts, 21860 and 640, that added together give a square (22500 = 150²).

The spelling of 21860640 in words is "twenty-one million, eight hundred sixty thousand, six hundred forty".