40705632 has 96 divisors (see below), whose sum is σ = 129548160. Its totient is φ = 12332160.

The previous prime is 40705631. The next prime is 40705669. The reversal of 40705632 is 23650704.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40705596 and 40705605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40705631) 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, 7363 + ... + 11645.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2^40705632 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 40705632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080).

40705632 is an abundant number, since it is smaller than the sum of its proper divisors (88842528).

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

40705632 is a wasteful number, since it uses less digits than its factorization.

40705632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 40705632 is about 6380.0965509936. The cubic root of 40705632 is about 343.9945014445.

The spelling of 40705632 in words is "forty million, seven hundred five thousand, six hundred thirty-two".