39068900 has 72 divisors (see below), whose sum is σ = 93655464. Its totient is φ = 14054400.

The previous prime is 39068899. The next prime is 39068933. The reversal of 39068900 is 986093.

It can be written as a sum of positive squares in 12 ways, for example, as 15952036 + 23116864 = 3994^2 + 4808^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52934 + ... + 53666.

Almost surely, 2^39068900 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 39068900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46827732).

39068900 is an abundant number, since it is smaller than the sum of its proper divisors (54586564).

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

39068900 is a wasteful number, since it uses less digits than its factorization.

39068900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 39068900 is about 6250.5119790302. The cubic root of 39068900 is about 339.3207314867.

The spelling of 39068900 in words is "thirty-nine million, sixty-eight thousand, nine hundred".