20768760 has 96 divisors (see below), whose sum is σ = 69713280. Its totient is φ = 5356800.

The previous prime is 20768753. The next prime is 20768771. The reversal of 20768760 is 6786702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10230 + ... + 12090.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 2^20768760 is an apocalyptic number.

20768760 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 20768760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).

20768760 is an abundant number, since it is smaller than the sum of its proper divisors (48944520).

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

20768760 is a wasteful number, since it uses less digits than its factorization.

20768760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 20768760 is about 4557.2755018761. The cubic root of 20768760 is about 274.8760212498.

It can be divided in two parts, 20768 and 760, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 20768760 in words is "twenty million, seven hundred sixty-eight thousand, seven hundred sixty".