66039400 has 96 divisors (see below), whose sum is σ = 179720640. Its totient is φ = 22095360.

The previous prime is 66039313. The next prime is 66039401. The reversal of 66039400 is 493066.

It is a super-2 number, since 2×66039400² = 8722404704720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (66039401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59652 + ... + 60748.

It is an arithmetic number, because the mean of its divisors is an integer number (1872090).

Almost surely, 2^66039400 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 66039400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89860320).

66039400 is an abundant number, since it is smaller than the sum of its proper divisors (113681240).

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

66039400 is a wasteful number, since it uses less digits than its factorization.

66039400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 66039400 is about 8126.4629452179. The cubic root of 66039400 is about 404.2044026598.

The spelling of 66039400 in words is "sixty-six million, thirty-nine thousand, four hundred".