66339000 has 448 divisors, whose sum is σ = 286453440. Its totient is φ = 13996800.

The previous prime is 66338999. The next prime is 66339017. The reversal of 66339000 is 93366.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5102994 + ... + 5103006.

It is an arithmetic number, because the mean of its divisors is an integer number (639405).

Almost surely, 2^66339000 is an apocalyptic number.

66339000 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 66339000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143226720).

66339000 is an abundant number, since it is smaller than the sum of its proper divisors (220114440).

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

66339000 is a wasteful number, since it uses less digits than its factorization.

66339000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 66339000 is about 8144.8756896591. The cubic root of 66339000 is about 404.8147300748.

The spelling of 66339000 in words is "sixty-six million, three hundred thirty-nine thousand".