1408640 has 64 divisors (see below), whose sum is σ = 3525120. Its totient is φ = 537600.

The previous prime is 1408633. The next prime is 1408651. The reversal of 1408640 is 468041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19805 + ... + 19875.

It is an arithmetic number, because the mean of its divisors is an integer number (55080).

2^1408640 is an apocalyptic number.

1408640 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 1408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762560).

1408640 is an abundant number, since it is smaller than the sum of its proper divisors (2116480).

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

1408640 is an equidigital number, since it uses as much as digits as its factorization.

1408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1408640 is about 1186.8614072418. The cubic root of 1408640 is about 112.0985527104.

It can be divided in two parts, 1408 and 640, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 1408640 in words is "one million, four hundred eight thousand, six hundred forty".