40632704 has 64 divisors (see below), whose sum is σ = 93636000. Its totient is φ = 17203200.

The previous prime is 40632701. The next prime is 40632731. The reversal of 40632704 is 40723604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40632701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90272 + ... + 90720.

Almost surely, 2^40632704 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 40632704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46818000).

40632704 is an abundant number, since it is smaller than the sum of its proper divisors (53003296).

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

40632704 is a wasteful number, since it uses less digits than its factorization.

40632704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 40632704 is about 6374.3787148239. The cubic root of 40632704 is about 343.7889457141.

The spelling of 40632704 in words is "forty million, six hundred thirty-two thousand, seven hundred four".