40590816 has 72 divisors (see below), whose sum is σ = 123961320. Its totient is φ = 11596032.

The previous prime is 40590773. The next prime is 40590827. The reversal of 40590816 is 61809504.

It is a super-2 number, since 2×40590816² = 3295228687091712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390 + ... + 9018.

It is an arithmetic number, because the mean of its divisors is an integer number (1721685).

Almost surely, 2^40590816 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 40590816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61980660).

40590816 is an abundant number, since it is smaller than the sum of its proper divisors (83370504).

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

40590816 is a wasteful number, since it uses less digits than its factorization.

40590816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8656 (or 8641 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 40590816 is about 6371.0922140556. The cubic root of 40590816 is about 343.6707684720.

The spelling of 40590816 in words is "forty million, five hundred ninety thousand, eight hundred sixteen".