40533768 has 96 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 12067200.

The previous prime is 40533749. The next prime is 40533769. The reversal of 40533768 is 86733504.

It is a happy number.

40533768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (40533769) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47893 + ... + 48731.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^40533768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40533768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

40533768 is an abundant number, since it is smaller than the sum of its proper divisors (81333432).

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

40533768 is a wasteful number, since it uses less digits than its factorization.

40533768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 40533768 is about 6366.6135425358. The cubic root of 40533768 is about 343.5096899817.

The spelling of 40533768 in words is "forty million, five hundred thirty-three thousand, seven hundred sixty-eight".