20763540 has 120 divisors (see below), whose sum is σ = 74481792. Its totient is φ = 4743360.

The previous prime is 20763493. The next prime is 20763541. The reversal of 20763540 is 4536702.

It is a happy number.

20763540 is a `hidden beast` number, since 20 + 7 + 635 + 4 + 0 = 666.

It is a super-2 number, since 2×20763540² = 862249186663200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20763541) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 10425 + ... + 12255.

Almost surely, 2^20763540 is an apocalyptic number.

20763540 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 20763540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37240896).

20763540 is an abundant number, since it is smaller than the sum of its proper divisors (53718252).

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

20763540 is a wasteful number, since it uses less digits than its factorization.

20763540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 20763540 is about 4556.7027552826. The cubic root of 20763540 is about 274.8529902960.

The spelling of 20763540 in words is "twenty million, seven hundred sixty-three thousand, five hundred forty".