39066480 has 120 divisors (see below), whose sum is σ = 135794880. Its totient is φ = 10053120.

The previous prime is 39066463. The next prime is 39066491. The reversal of 39066480 is 8466093.

39066480 is a `hidden beast` number, since 3 + 9 + 0 + 6 + 648 + 0 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19945 + ... + 21815.

It is an arithmetic number, because the mean of its divisors is an integer number (1131624).

Almost surely, 2^39066480 is an apocalyptic number.

39066480 is a gapful number since it is divisible by the number (30) 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 39066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67897440).

39066480 is an abundant number, since it is smaller than the sum of its proper divisors (96728400).

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

39066480 is a wasteful number, since it uses less digits than its factorization.

39066480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 39066480 is about 6250.3183918901. The cubic root of 39066480 is about 339.3137252906.

The spelling of 39066480 in words is "thirty-nine million, sixty-six thousand, four hundred eighty".