20701440 has 144 divisors (see below), whose sum is σ = 73584000. Its totient is φ = 5511168.

The previous prime is 20701423. The next prime is 20701441. The reversal of 20701440 is 4410702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20701441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34261 + ... + 34859.

It is an arithmetic number, because the mean of its divisors is an integer number (511000).

Almost surely, 2^20701440 is an apocalyptic number.

20701440 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 20701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36792000).

20701440 is an abundant number, since it is smaller than the sum of its proper divisors (52882560).

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

20701440 is an equidigital number, since it uses as much as digits as its factorization.

20701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20701440 is about 4549.8835149924. The cubic root of 20701440 is about 274.5787047749.

The spelling of 20701440 in words is "twenty million, seven hundred one thousand, four hundred forty".