43536960 has 112 divisors (see below), whose sum is σ = 153619200. Its totient is φ = 11607552.

The previous prime is 43536937. The next prime is 43536973. The reversal of 43536960 is 6963534.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6121 + ... + 11159.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 2^43536960 is an apocalyptic number.

43536960 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 43536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

43536960 is an abundant number, since it is smaller than the sum of its proper divisors (110082240).

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

43536960 is a wasteful number, since it uses less digits than its factorization.

43536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5065 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 43536960 is about 6598.2543145896. The cubic root of 43536960 is about 351.7920603820.

The spelling of 43536960 in words is "forty-three million, five hundred thirty-six thousand, nine hundred sixty".