40632264 has 48 divisors (see below), whose sum is σ = 111134400. Its totient is φ = 13410144.

The previous prime is 40632259. The next prime is 40632281. The reversal of 40632264 is 46223604.

40632264 is a `hidden beast` number, since 4 + 0 + 632 + 26 + 4 = 666.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4677 + ... + 10155.

It is an arithmetic number, because the mean of its divisors is an integer number (2315300).

Almost surely, 2^40632264 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 40632264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55567200).

40632264 is an abundant number, since it is smaller than the sum of its proper divisors (70502136).

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

40632264 is a wasteful number, since it uses less digits than its factorization.

40632264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594 (or 5587 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 40632264 is about 6374.3442015630. The cubic root of 40632264 is about 343.7877047787.

Adding to 40632264 its reverse (46223604), we get a palindrome (86855868).

The spelling of 40632264 in words is "forty million, six hundred thirty-two thousand, two hundred sixty-four".