43609680 has 120 divisors (see below), whose sum is σ = 150505992. Its totient is φ = 11308032.

The previous prime is 43609663. The next prime is 43609681. The reversal of 43609680 is 8690634.

43609680 is a `hidden beast` number, since 43 + 609 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2547216 + 41062464 = 1596^2 + 6408^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43609681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25822 + ... + 27458.

Almost surely, 2^43609680 is an apocalyptic number.

43609680 is a gapful number since it is divisible by the number (40) 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 43609680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75252996).

43609680 is an abundant number, since it is smaller than the sum of its proper divisors (106896312).

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

43609680 is a wasteful number, since it uses less digits than its factorization.

43609680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 43609680 is about 6603.7625638722. The cubic root of 43609680 is about 351.9878181046.

The spelling of 43609680 in words is "forty-three million, six hundred nine thousand, six hundred eighty".