40613664 has 96 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 10708992.

The previous prime is 40613641. The next prime is 40613693. The reversal of 40613664 is 46631604.

40613664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6412 + ... + 11060.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 2^40613664 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 40613664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

40613664 is an abundant number, since it is smaller than the sum of its proper divisors (90627936).

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

40613664 is a wasteful number, since it uses less digits than its factorization.

40613664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 40613664 is about 6372.8850609437. The cubic root of 40613664 is about 343.7352388593.

The spelling of 40613664 in words is "forty million, six hundred thirteen thousand, six hundred sixty-four".