40633632 has 72 divisors (see below), whose sum is σ = 124451964. Its totient is φ = 12501504.

The previous prime is 40633627. The next prime is 40633639. The reversal of 40633632 is 23633604.

It can be written as a sum of positive squares in 2 ways, for example, as 39388176 + 1245456 = 6276^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×40633632² = 3302184099022848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40633596 and 40633605.

It is not an unprimeable number, because it can be changed into a prime (40633639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1683 + ... + 9170.

Almost surely, 2^40633632 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 40633632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62225982).

40633632 is an abundant number, since it is smaller than the sum of its proper divisors (83818332).

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

40633632 is a wasteful number, since it uses less digits than its factorization.

40633632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10882 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 40633632 is about 6374.4515058160. The cubic root of 40633632 is about 343.7915629303.

The spelling of 40633632 in words is "forty million, six hundred thirty-three thousand, six hundred thirty-two".