39846240 has 288 divisors, whose sum is σ = 160392960. Its totient is φ = 8819712.

The previous prime is 39846221. The next prime is 39846241. The reversal of 39846240 is 4264893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 39846195 and 39846204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39846241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594687 + ... + 594753.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 2^39846240 is an apocalyptic number.

39846240 is a gapful number since it is divisible by the number (30) 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 39846240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

39846240 is an abundant number, since it is smaller than the sum of its proper divisors (120546720).

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

39846240 is a wasteful number, since it uses less digits than its factorization.

39846240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 39846240 is about 6312.3878207854. The cubic root of 39846240 is about 341.5564168044.

The spelling of 39846240 in words is "thirty-nine million, eight hundred forty-six thousand, two hundred forty".