39667968 has 90 divisors (see below), whose sum is σ = 118344534. Its totient is φ = 13215744.

The previous prime is 39667967. The next prime is 39667993. The reversal of 39667968 is 86976693.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 38340864 + 1327104 = 6192^2 + 1152^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (39667961) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19780 + ... + 21692.

Almost surely, 2^39667968 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 39667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59172267).

39667968 is an abundant number, since it is smaller than the sum of its proper divisors (78676566).

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

39667968 is an equidigital number, since it uses as much as digits as its factorization.

39667968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1918 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 39667968 is about 6298.2511858452. The cubic root of 39667968 is about 341.0462810167.

The spelling of 39667968 in words is "thirty-nine million, six hundred sixty-seven thousand, nine hundred sixty-eight".