40832000 has 176 divisors, whose sum is σ = 114959520. Its totient is φ = 14336000.

The previous prime is 40831963. The next prime is 40832003. The reversal of 40832000 is 23804.

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 40832000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40832003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407986 + ... + 1408014.

Almost surely, 2^40832000 is an apocalyptic number.

40832000 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 40832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57479760).

40832000 is an abundant number, since it is smaller than the sum of its proper divisors (74127520).

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

40832000 is a wasteful number, since it uses less digits than its factorization.

40832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 40832000 is about 6389.9921752691. The cubic root of 40832000 is about 344.3501032722.

Adding to 40832000 its reverse (23804), we get a palindrome (40855804).

The spelling of 40832000 in words is "forty million, eight hundred thirty-two thousand".