43131648 has 144 divisors (see below), whose sum is σ = 134217216. Its totient is φ = 12042240.

The previous prime is 43131643. The next prime is 43131659. The reversal of 43131648 is 84613134.

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

It is not an unprimeable number, because it can be changed into a prime (43131643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381640 + ... + 381752.

It is an arithmetic number, because the mean of its divisors is an integer number (932064).

Almost surely, 2^43131648 is an apocalyptic number.

43131648 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 43131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67108608).

43131648 is an abundant number, since it is smaller than the sum of its proper divisors (91085568).

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

43131648 is a wasteful number, since it uses less digits than its factorization.

43131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 43131648 is about 6567.4689188454. The cubic root of 43131648 is about 350.6969730650.

The spelling of 43131648 in words is "forty-three million, one hundred thirty-one thousand, six hundred forty-eight".