66652560 has 120 divisors (see below), whose sum is σ = 241093944. Its totient is φ = 16404480.

The previous prime is 66652549. The next prime is 66652561. The reversal of 66652560 is 6525666.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 64256256 = 1548^2 + 8016^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (66652561) 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, 5800 + ... + 12920.

Almost surely, 2^66652560 is an apocalyptic number.

66652560 is a gapful number since it is divisible by the number (60) 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 66652560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120546972).

66652560 is an abundant number, since it is smaller than the sum of its proper divisors (174441384).

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

66652560 is a wasteful number, since it uses less digits than its factorization.

66652560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7153 (or 7144 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 66652560 is about 8164.1019101920. The cubic root of 66652560 is about 405.4515311554.

It can be divided in two parts, 6 and 6652560, that added together give a palindrome (6652566).

The spelling of 66652560 in words is "sixty-six million, six hundred fifty-two thousand, five hundred sixty".