66939120 has 120 divisors (see below), whose sum is σ = 226324800. Its totient is φ = 17730048.

The previous prime is 66939107. The next prime is 66939121. The reversal of 66939120 is 2193966.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66939121) 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, 171886 + ... + 172274.

It is an arithmetic number, because the mean of its divisors is an integer number (1886040).

Almost surely, 2^66939120 is an apocalyptic number.

66939120 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 66939120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113162400).

66939120 is an abundant number, since it is smaller than the sum of its proper divisors (159385680).

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

66939120 is a wasteful number, since it uses less digits than its factorization.

66939120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 66939120 is about 8181.6330888155. The cubic root of 66939120 is about 406.0317543332.

The spelling of 66939120 in words is "sixty-six million, nine hundred thirty-nine thousand, one hundred twenty".