40848768 has 96 divisors (see below), whose sum is σ = 119737800. Its totient is φ = 13363200.

The previous prime is 40848763. The next prime is 40848779. The reversal of 40848768 is 86784804.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40848763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67668 + ... + 68268.

Almost surely, 2^40848768 is an apocalyptic number.

40848768 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 40848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59868900).

40848768 is an abundant number, since it is smaller than the sum of its proper divisors (78889032).

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

40848768 is a wasteful number, since it uses less digits than its factorization.

40848768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 40848768 is about 6391.3040922804. The cubic root of 40848768 is about 344.3972335648.

It can be divided in two parts, 40848 and 768, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 40848768 in words is "forty million, eight hundred forty-eight thousand, seven hundred sixty-eight".