32113440 has 144 divisors (see below), whose sum is σ = 113513400. Its totient is φ = 8257536.

The previous prime is 32113429. The next prime is 32113457. The reversal of 32113440 is 4431123.

32113440 is a `hidden beast` number, since 321 + 1 + 344 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24561936 + 7551504 = 4956^2 + 2748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41376 + ... + 42144.

Almost surely, 2^32113440 is an apocalyptic number.

32113440 is a gapful number since it is divisible by the number (30) 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 32113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56756700).

32113440 is an abundant number, since it is smaller than the sum of its proper divisors (81399960).

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

32113440 is a wasteful number, since it uses less digits than its factorization.

32113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 808 counting only the distinct ones).

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

The square root of 32113440 is about 5666.8721531370. The cubic root of 32113440 is about 317.8549237375.

Adding to 32113440 its reverse (4431123), we get a palindrome (36544563).

The spelling of 32113440 in words is "thirty-two million, one hundred thirteen thousand, four hundred forty".