40684896 has 216 divisors, whose sum is σ = 142634520. Its totient is φ = 11249280.

The previous prime is 40684877. The next prime is 40684901. The reversal of 40684896 is 69848604.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1312401 + ... + 1312431.

It is an arithmetic number, because the mean of its divisors is an integer number (660345).

Almost surely, 2^40684896 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 40684896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71317260).

40684896 is an abundant number, since it is smaller than the sum of its proper divisors (101949624).

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

40684896 is a wasteful number, since it uses less digits than its factorization.

40684896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 40684896 is about 6378.4712902074. The cubic root of 40684896 is about 343.9360797044.

The spelling of 40684896 in words is "forty million, six hundred eighty-four thousand, eight hundred ninety-six".