43642368 has 320 divisors, whose sum is σ = 164989440. Its totient is φ = 11059200.

The previous prime is 43642331. The next prime is 43642369. The reversal of 43642368 is 86324634.

It is a happy number.

43642368 is a `hidden beast` number, since 4 + 3 + 642 + 3 + 6 + 8 = 666.

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

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

Its product of digits (82944) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43642369) 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 31 ways as a sum of consecutive naturals, for example, 1064428 + ... + 1064468.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^43642368 is an apocalyptic number.

43642368 is a gapful number since it is divisible by the number (48) 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 43642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

43642368 is an abundant number, since it is smaller than the sum of its proper divisors (121347072).

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

43642368 is a wasteful number, since it uses less digits than its factorization.

43642368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 43642368 is about 6606.2370529674. The cubic root of 43642368 is about 352.0757412770.

It can be divided in two parts, 43 and 642368, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 43642368 in words is "forty-three million, six hundred forty-two thousand, three hundred sixty-eight".