40832064 has 336 divisors, whose sum is σ = 155326080. Its totient is φ = 9953280.

The previous prime is 40832059. The next prime is 40832081. The reversal of 40832064 is 46023804.

40832064 = 129³ + 130³ + ... + 144³.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995884 + ... + 995924.

It is an arithmetic number, because the mean of its divisors is an integer number (462280).

Almost surely, 2^40832064 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 40832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77663040).

40832064 is an abundant number, since it is smaller than the sum of its proper divisors (114494016).

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

40832064 is a wasteful number, since it uses less digits than its factorization.

40832064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40832064 is about 6389.9971830980. The cubic root of 40832064 is about 344.3502831834.

Adding to 40832064 its reverse (46023804), we get a palindrome (86855868).

The spelling of 40832064 in words is "forty million, eight hundred thirty-two thousand, sixty-four".