32053440 has 112 divisors (see below), whose sum is σ = 102888288. Its totient is φ = 8454144.

The previous prime is 32053409. The next prime is 32053451. The reversal of 32053440 is 4435023.

32053440 = T₁₉₉ + T₂₀₀ + ... + T₅₈₄.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165984 + ... + 166176.

Almost surely, 2^32053440 is an apocalyptic number.

32053440 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 32053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51444144).

32053440 is an abundant number, since it is smaller than the sum of its proper divisors (70834848).

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

32053440 is a wasteful number, since it uses less digits than its factorization.

32053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 32053440 is about 5661.5757523855. The cubic root of 32053440 is about 317.6568427552.

Adding to 32053440 its reverse (4435023), we get a palindrome (36488463).

The spelling of 32053440 in words is "thirty-two million, fifty-three thousand, four hundred forty".