40783968 has 144 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 12629760.

The previous prime is 40783961. The next prime is 40783997. The reversal of 40783968 is 86938704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40783961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311263 + ... + 311393.

It is an arithmetic number, because the mean of its divisors is an integer number (864864).

Almost surely, 2^40783968 is an apocalyptic number.

40783968 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 40783968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208).

40783968 is an abundant number, since it is smaller than the sum of its proper divisors (83756448).

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

40783968 is a wasteful number, since it uses less digits than its factorization.

40783968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 40783968 is about 6386.2326922842. The cubic root of 40783968 is about 344.2150269118.

The spelling of 40783968 in words is "forty million, seven hundred eighty-three thousand, nine hundred sixty-eight".