66001024 has 64 divisors (see below), whose sum is σ = 136598400. Its totient is φ = 31749120.

The previous prime is 66000997. The next prime is 66001027. The reversal of 66001024 is 42010066.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×66001024⁴ (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 66000992 and 66001010.

It is not an unprimeable number, because it can be changed into a prime (66001027) 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, 616779 + ... + 616885.

It is an arithmetic number, because the mean of its divisors is an integer number (2134350).

Almost surely, 2^66001024 is an apocalyptic number.

66001024 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 66001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299200).

66001024 is an abundant number, since it is smaller than the sum of its proper divisors (70597376).

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

66001024 is a wasteful number, since it uses less digits than its factorization.

66001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 66001024 is about 8124.1014272349. The cubic root of 66001024 is about 404.1260920665.

The spelling of 66001024 in words is "sixty-six million, one thousand, twenty-four".