40896768 has 144 divisors (see below), whose sum is σ = 122443776. Its totient is φ = 12011520.

The previous prime is 40896767. The next prime is 40896809. The reversal of 40896768 is 86769804.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (40896767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397005 + ... + 397107.

It is an arithmetic number, because the mean of its divisors is an integer number (850304).

Almost surely, 2^40896768 is an apocalyptic number.

40896768 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 40896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61221888).

40896768 is an abundant number, since it is smaller than the sum of its proper divisors (81547008).

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

40896768 is a wasteful number, since it uses less digits than its factorization.

40896768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 40896768 is about 6395.0580919957. The cubic root of 40896768 is about 344.5320772595.

The spelling of 40896768 in words is "forty million, eight hundred ninety-six thousand, seven hundred sixty-eight".