20760768 has 168 divisors, whose sum is σ = 71851520. Its totient is φ = 5598720.

The previous prime is 20760767. The next prime is 20760769. The reversal of 20760768 is 86706702.

It is an interprime number because it is at equal distance from previous prime (20760767) and next prime (20760769).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (20760767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76473 + ... + 76743.

Almost surely, 2^20760768 is an apocalyptic number.

20760768 is a gapful number since it is divisible by the number (28) 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 20760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35925760).

20760768 is an abundant number, since it is smaller than the sum of its proper divisors (51090752).

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

20760768 is a wasteful number, since it uses less digits than its factorization.

20760768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

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

The square root of 20760768 is about 4556.3985778244. The cubic root of 20760768 is about 274.8407584961.

It can be divided in two parts, 20760 and 768, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 20760768 in words is "twenty million, seven hundred sixty thousand, seven hundred sixty-eight".