39646240 has 72 divisors (see below), whose sum is σ = 96795972. Its totient is φ = 15344640.

The previous prime is 39646223. The next prime is 39646249. The reversal of 39646240 is 4264693.

It can be written as a sum of positive squares in 6 ways, for example, as 21566736 + 18079504 = 4644^2 + 4252^2 .

It is a super-2 number, since 2×39646240² = 3143648692275200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 39646196 and 39646205.

It is not an unprimeable number, because it can be changed into a prime (39646249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218950 + ... + 219130.

Almost surely, 2^39646240 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 39646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48397986).

39646240 is an abundant number, since it is smaller than the sum of its proper divisors (57149732).

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

39646240 is a wasteful number, since it uses less digits than its factorization.

39646240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 39646240 is about 6296.5260263101. The cubic root of 39646240 is about 340.9840006482.

The spelling of 39646240 in words is "thirty-nine million, six hundred forty-six thousand, two hundred forty".