40616960 has 44 divisors (see below), whose sum is σ = 97445388. Its totient is φ = 16244736.

The previous prime is 40616959. The next prime is 40616987. The reversal of 40616960 is 6961604.

It can be written as a sum of positive squares in 2 ways, for example, as 13075456 + 27541504 = 3616^2 + 5248^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1154 + ... + 9086.

Almost surely, 2^40616960 is an apocalyptic number.

40616960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48722694).

40616960 is an abundant number, since it is smaller than the sum of its proper divisors (56828428).

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

40616960 is an equidigital number, since it uses as much as digits as its factorization.

40616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 7940 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 40616960 is about 6373.1436512917. The cubic root of 40616960 is about 343.7445372135.

The spelling of 40616960 in words is "forty million, six hundred sixteen thousand, nine hundred sixty".