39668040 has 96 divisors (see below), whose sum is σ = 129729600. Its totient is φ = 10512000.

The previous prime is 39668039. The next prime is 39668051. The reversal of 39668040 is 4086693.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39667986 and 39668004.

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, 90141 + ... + 90579.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 2^39668040 is an apocalyptic number.

39668040 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 39668040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

39668040 is an abundant number, since it is smaller than the sum of its proper divisors (90061560).

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

39668040 is a wasteful number, since it uses less digits than its factorization.

39668040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 700 counting only the distinct ones).

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

The square root of 39668040 is about 6298.2569017149. The cubic root of 39668040 is about 341.0464873571.

The spelling of 39668040 in words is "thirty-nine million, six hundred sixty-eight thousand, forty".