39136896 has 96 divisors (see below), whose sum is σ = 114924420. Its totient is φ = 12779520.

The previous prime is 39136891. The next prime is 39136897. The reversal of 39136896 is 69863193.

It can be written as a sum of positive squares in 2 ways, for example, as 34574400 + 4562496 = 5880^2 + 2136^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (39136891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60736 + ... + 61376.

Almost surely, 2^39136896 is an apocalyptic number.

39136896 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 39136896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57462210).

39136896 is an abundant number, since it is smaller than the sum of its proper divisors (75787524).

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

39136896 is a wasteful number, since it uses less digits than its factorization.

39136896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 699 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 39136896 is about 6255.9488488957. The cubic root of 39136896 is about 339.5174700707.

The spelling of 39136896 in words is "thirty-nine million, one hundred thirty-six thousand, eight hundred ninety-six".