40233648 has 160 divisors (see below), whose sum is σ = 130880512. Its totient is φ = 10368000.

The previous prime is 40233631. The next prime is 40233667. The reversal of 40233648 is 84633204.

40233648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 6343²-1.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266373 + ... + 266523.

Almost surely, 2^40233648 is an apocalyptic number.

40233648 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 40233648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65440256).

40233648 is an abundant number, since it is smaller than the sum of its proper divisors (90646864).

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

40233648 is a wasteful number, since it uses less digits than its factorization.

40233648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 40233648 is about 6342.9999211729. Note that the first 4 decimals coincide. The cubic root of 40233648 is about 342.6597844325.

The spelling of 40233648 in words is "forty million, two hundred thirty-three thousand, six hundred forty-eight".