40632306 has 128 divisors (see below), whose sum is σ = 104509440. Its totient is φ = 10348800.

The previous prime is 40632281. The next prime is 40632313. The reversal of 40632306 is 60323604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572251 + ... + 572321.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 2^40632306 is an apocalyptic number.

40632306 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40632306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

40632306 is an abundant number, since it is smaller than the sum of its proper divisors (63877134).

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

40632306 is a wasteful number, since it uses less digits than its factorization.

40632306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 40632306 is about 6374.3474960187. The cubic root of 40632306 is about 343.7878232321.

The spelling of 40632306 in words is "forty million, six hundred thirty-two thousand, three hundred six".