40617216 has 162 divisors, whose sum is σ = 126442862. Its totient is φ = 12533760.

The previous prime is 40617211. The next prime is 40617217. The reversal of 40617216 is 61271604.

40617216 is a `hidden beast` number, since 40 + 617 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5760000 + 34857216 = 2400^2 + 5904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40617216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40617211) 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, 665826 + ... + 665886.

Almost surely, 2^40617216 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 40617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63221431).

40617216 is an abundant number, since it is smaller than the sum of its proper divisors (85825646).

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

40617216 is a wasteful number, since it uses less digits than its factorization.

40617216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 40617216 is about 6373.1637355398. The cubic root of 40617216 is about 343.7452593947.

The spelling of 40617216 in words is "forty million, six hundred seventeen thousand, two hundred sixteen".