66110720 has 144 divisors (see below), whose sum is σ = 177705360. Its totient is φ = 23396352.

The previous prime is 66110711. The next prime is 66110729. The reversal of 66110720 is 2701166.

It is an interprime number because it is at equal distance from previous prime (66110711) and next prime (66110729).

It can be written as a sum of positive squares in 8 ways, for example, as 2876416 + 63234304 = 1696^2 + 7952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66110729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482492 + ... + 482628.

It is an arithmetic number, because the mean of its divisors is an integer number (1234065).

Almost surely, 2^66110720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88852680).

66110720 is an abundant number, since it is smaller than the sum of its proper divisors (111594640).

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

66110720 is a wasteful number, since it uses less digits than its factorization.

66110720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 66110720 is about 8130.8498940763. The cubic root of 66110720 is about 404.3498586884.

Adding to 66110720 its reverse (2701166), we get a palindrome (68811886).

The spelling of 66110720 in words is "sixty-six million, one hundred ten thousand, seven hundred twenty".