40532832 has 96 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 13184640.

The previous prime is 40532827. The next prime is 40532837. The reversal of 40532832 is 23823504.

40532832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40532827) and next prime (40532837).

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 = 40532796 and 40532805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40532837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36607 + ... + 37697.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 2^40532832 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 40532832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

40532832 is an abundant number, since it is smaller than the sum of its proper divisors (80548128).

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

40532832 is a wasteful number, since it uses less digits than its factorization.

40532832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40532832 is about 6366.5400336446. The cubic root of 40532832 is about 343.5070458691.

The spelling of 40532832 in words is "forty million, five hundred thirty-two thousand, eight hundred thirty-two".