40769568 has 216 divisors, whose sum is σ = 141169392. Its totient is φ = 11539584.

The previous prime is 40769507. The next prime is 40769569. The reversal of 40769568 is 86596704.

It is a tau number, because it is divible by the number of its divisors (216).

It is not an unprimeable number, because it can be changed into a prime (40769569) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380971 + ... + 381077.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 2^40769568 is an apocalyptic number.

40769568 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 40769568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70584696).

40769568 is an abundant number, since it is smaller than the sum of its proper divisors (100399824).

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

40769568 is a wasteful number, since it uses less digits than its factorization.

40769568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 40769568 is about 6385.1051674972. The cubic root of 40769568 is about 344.1745103387.

The spelling of 40769568 in words is "forty million, seven hundred sixty-nine thousand, five hundred sixty-eight".