40261608 has 72 divisors (see below), whose sum is σ = 115157250. Its totient is φ = 12705984.

The previous prime is 40261601. The next prime is 40261619. The reversal of 40261608 is 80616204.

40261608 is a `hidden beast` number, since 40 + 2 + 616 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36505764 + 3755844 = 6042^2 + 1938^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (40261601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25218 + ... + 26766.

Almost surely, 2^40261608 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 40261608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57578625).

40261608 is an abundant number, since it is smaller than the sum of its proper divisors (74895642).

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

40261608 is a wasteful number, since it uses less digits than its factorization.

40261608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40261608 is about 6345.2035428345. The cubic root of 40261608 is about 342.7391421306.

The spelling of 40261608 in words is "forty million, two hundred sixty-one thousand, six hundred eight".