66561024 has 88 divisors (see below), whose sum is σ = 181577088. Its totient is φ = 21667840.

The previous prime is 66561013. The next prime is 66561029. The reversal of 66561024 is 42016566.

It is a junction number, because it is equal to n+sod(n) for n = 66560982 and 66561000.

It is not an unprimeable number, because it can be changed into a prime (66561029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144154 + ... + 144614.

It is an arithmetic number, because the mean of its divisors is an integer number (2063376).

Almost surely, 2^66561024 is an apocalyptic number.

66561024 is a gapful number since it is divisible by the number (64) 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 66561024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90788544).

66561024 is an abundant number, since it is smaller than the sum of its proper divisors (115016064).

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

66561024 is a wasteful number, since it uses less digits than its factorization.

66561024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 66561024 is about 8158.4939786703. The cubic root of 66561024 is about 405.2658397931.

The spelling of 66561024 in words is "sixty-six million, five hundred sixty-one thousand, twenty-four".