39661056 has 160 divisors (see below), whose sum is σ = 124396800. Its totient is φ = 12441600.

The previous prime is 39661049. The next prime is 39661057. The reversal of 39661056 is 65016693.

39661056 is a `hidden beast` number, since 39 + 6 + 610 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 39661056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39661057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262581 + ... + 262731.

It is an arithmetic number, because the mean of its divisors is an integer number (777480).

Almost surely, 2^39661056 is an apocalyptic number.

39661056 is a gapful number since it is divisible by the number (36) 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 39661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62198400).

39661056 is an abundant number, since it is smaller than the sum of its proper divisors (84735744).

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

39661056 is a wasteful number, since it uses less digits than its factorization.

39661056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 39661056 is about 6297.7024381912. The cubic root of 39661056 is about 341.0264711723.

The spelling of 39661056 in words is "thirty-nine million, six hundred sixty-one thousand, fifty-six".