40632120 has 96 divisors (see below), whose sum is σ = 134362800. Its totient is φ = 10646016.

The previous prime is 40632049. The next prime is 40632121. The reversal of 40632120 is 2123604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40632093 and 40632102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40632121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20284 + ... + 22196.

Almost surely, 2^40632120 is an apocalyptic number.

40632120 is a gapful number since it is divisible by the number (40) 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 40632120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67181400).

40632120 is an abundant number, since it is smaller than the sum of its proper divisors (93730680).

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

40632120 is a wasteful number, since it uses less digits than its factorization.

40632120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40632120 is about 6374.3329062734. The cubic root of 40632120 is about 343.7872986525.

Adding to 40632120 its reverse (2123604), we get a palindrome (42755724).

The spelling of 40632120 in words is "forty million, six hundred thirty-two thousand, one hundred twenty".