40964616 has 160 divisors (see below), whose sum is σ = 143225280. Its totient is φ = 10627200.

The previous prime is 40964569. The next prime is 40964641. The reversal of 40964616 is 61646904.

40964616 is a `hidden beast` number, since 4 + 0 + 9 + 646 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49486 + ... + 50306.

It is an arithmetic number, because the mean of its divisors is an integer number (895158).

Almost surely, 2^40964616 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 40964616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71612640).

40964616 is an abundant number, since it is smaller than the sum of its proper divisors (102260664).

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

40964616 is a wasteful number, since it uses less digits than its factorization.

40964616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40964616 is about 6400.3606148404. The cubic root of 40964616 is about 344.7224989689.

It can be divided in two parts, 409 and 64616, that added together give a square (65025 = 255²).

The spelling of 40964616 in words is "forty million, nine hundred sixty-four thousand, six hundred sixteen".