32135040 has 192 divisors, whose sum is σ = 126977760. Its totient is φ = 7335936.

The previous prime is 32135029. The next prime is 32135041. The reversal of 32135040 is 4053123.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32135041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39922 + ... + 40718.

Almost surely, 2^32135040 is an apocalyptic number.

32135040 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 32135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63488880).

32135040 is an abundant number, since it is smaller than the sum of its proper divisors (94842720).

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

32135040 is a wasteful number, since it uses less digits than its factorization.

32135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 32135040 is about 5668.7776460186. Note that the first 3 decimals coincide. The cubic root of 32135040 is about 317.9261724900.

Adding to 32135040 its reverse (4053123), we get a palindrome (36188163).

The spelling of 32135040 in words is "thirty-two million, one hundred thirty-five thousand, forty".