40586616 has 128 divisors (see below), whose sum is σ = 136512000. Its totient is φ = 10907136.

The previous prime is 40586591. The next prime is 40586617. The reversal of 40586616 is 61668504.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40586617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24915 + ... + 26493.

It is an arithmetic number, because the mean of its divisors is an integer number (1066500).

Almost surely, 2^40586616 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 40586616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68256000).

40586616 is an abundant number, since it is smaller than the sum of its proper divisors (95925384).

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

40586616 is a wasteful number, since it uses less digits than its factorization.

40586616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 40586616 is about 6370.7625917154. The cubic root of 40586616 is about 343.6589146656.

The spelling of 40586616 in words is "forty million, five hundred eighty-six thousand, six hundred sixteen".