20172768 has 96 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 5237760.

The previous prime is 20172743. The next prime is 20172781. The reversal of 20172768 is 86727102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6028 + ... + 8756.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^20172768 is an apocalyptic number.

20172768 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 20172768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

20172768 is an abundant number, since it is smaller than the sum of its proper divisors (45871392).

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

20172768 is a wasteful number, since it uses less digits than its factorization.

20172768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 20172768 is about 4491.4104688839. The cubic root of 20172768 is about 272.2211292905.

It can be divided in two parts, 20172 and 768, that multiplied together give a square (15492096 = 3936²).

The spelling of 20172768 in words is "twenty million, one hundred seventy-two thousand, seven hundred sixty-eight".