20240080 has 80 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 6782976.

The previous prime is 20240071. The next prime is 20240083. The reversal of 20240080 is 8004202.

20240080 = 386² + 387² + ... + 490².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20240083) 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, 25936 + ... + 26704.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 2^20240080 is an apocalyptic number.

20240080 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 20240080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

20240080 is an abundant number, since it is smaller than the sum of its proper divisors (34756400).

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

20240080 is a wasteful number, since it uses less digits than its factorization.

20240080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 20240080 is about 4498.8976427565. The cubic root of 20240080 is about 272.5235734173.

Adding to 20240080 its reverse (8004202), we get a palindrome (28244282).

It can be divided in two parts, 20 and 240080, that added together give a square (240100 = 490²).

The spelling of 20240080 in words is "twenty million, two hundred forty thousand, eighty".