40576032 has 96 divisors (see below), whose sum is σ = 135273600. Its totient is φ = 11591424.

The previous prime is 40576031. The next prime is 40576049. The reversal of 40576032 is 23067504.

It is a happy number.

40576032 is a `hidden beast` number, since 4 + 0 + 57 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40575987 and 40576005.

It is not an unprimeable number, because it can be changed into a prime (40576031) 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, 2694 + ... + 9402.

It is an arithmetic number, because the mean of its divisors is an integer number (1409100).

Almost surely, 2^40576032 is an apocalyptic number.

40576032 is a gapful number since it is divisible by the number (42) 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 40576032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67636800).

40576032 is an abundant number, since it is smaller than the sum of its proper divisors (94697568).

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

40576032 is a wasteful number, since it uses less digits than its factorization.

40576032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 40576032 is about 6369.9318677675. The cubic root of 40576032 is about 343.6290394463.

The spelling of 40576032 in words is "forty million, five hundred seventy-six thousand, thirty-two".