39768150 has 48 divisors (see below), whose sum is σ = 102921984. Its totient is φ = 10142880.

The previous prime is 39768149. The next prime is 39768161. The reversal of 39768150 is 5186793.

39768150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 39768099 and 39768108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2314 + ... + 9213.

It is an arithmetic number, because the mean of its divisors is an integer number (2144208).

Almost surely, 2^39768150 is an apocalyptic number.

39768150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

39768150 is an abundant number, since it is smaller than the sum of its proper divisors (63153834).

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

39768150 is a wasteful number, since it uses less digits than its factorization.

39768150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11565 (or 11560 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 39768150 is about 6306.1993308173. The cubic root of 39768150 is about 341.3331453534. Note that the first 3 decimals are identical.

The spelling of 39768150 in words is "thirty-nine million, seven hundred sixty-eight thousand, one hundred fifty".