20767680 has 84 divisors (see below), whose sum is σ = 71442072. Its totient is φ = 5537280.

The previous prime is 20767673. The next prime is 20767687. The reversal of 20767680 is 8676702.

It is an interprime number because it is at equal distance from previous prime (20767673) and next prime (20767687).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20767687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726 + ... + 6485.

Almost surely, 2^20767680 is an apocalyptic number.

20767680 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 20767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35721036).

20767680 is an abundant number, since it is smaller than the sum of its proper divisors (50674392).

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

20767680 is a wasteful number, since it uses less digits than its factorization.

20767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7234 (or 7221 counting only the distinct ones).

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

The square root of 20767680 is about 4557.1570084868. The cubic root of 20767680 is about 274.8712565415.

The spelling of 20767680 in words is "twenty million, seven hundred sixty-seven thousand, six hundred eighty".