20765040 has 80 divisors (see below), whose sum is σ = 66471936. Its totient is φ = 5356800.

The previous prime is 20765027. The next prime is 20765051. The reversal of 20765040 is 4056702.

It is a happy number.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20765040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6045 + ... + 8835.

Almost surely, 2^20765040 is an apocalyptic number.

20765040 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 20765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33235968).

20765040 is an abundant number, since it is smaller than the sum of its proper divisors (45706896).

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

20765040 is a wasteful number, since it uses less digits than its factorization.

20765040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 20765040 is about 4556.8673450080. The cubic root of 20765040 is about 274.8596087814.

It can be divided in two parts, 207650 and 40, that added together give a triangular number (207690 = T₆₄₄).

The spelling of 20765040 in words is "twenty million, seven hundred sixty-five thousand, forty".