40986624 has 96 divisors (see below), whose sum is σ = 125012160. Its totient is φ = 11698176.

The previous prime is 40986623. The next prime is 40986683. The reversal of 40986624 is 42668904.

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

It is not an unprimeable number, because it can be changed into a prime (40986623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42532 + ... + 43484.

It is an arithmetic number, because the mean of its divisors is an integer number (1302210).

Almost surely, 2^40986624 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 40986624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62506080).

40986624 is an abundant number, since it is smaller than the sum of its proper divisors (84025536).

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

40986624 is an equidigital number, since it uses as much as digits as its factorization.

40986624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 40986624 is about 6402.0796621098. The cubic root of 40986624 is about 344.7842212980.

The spelling of 40986624 in words is "forty million, nine hundred eighty-six thousand, six hundred twenty-four".