32054040 has 96 divisors (see below), whose sum is σ = 104878800. Its totient is φ = 8490240.

The previous prime is 32054039. The next prime is 32054053. The reversal of 32054040 is 4045023.

It is a happy number.

It is a super-3 number, since 3×32054040³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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, 96675 + ... + 97005.

Almost surely, 2^32054040 is an apocalyptic number.

32054040 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 32054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52439400).

32054040 is an abundant number, since it is smaller than the sum of its proper divisors (72824760).

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

32054040 is a wasteful number, since it uses less digits than its factorization.

32054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 32054040 is about 5661.6287409190. The cubic root of 32054040 is about 317.6588247881.

Adding to 32054040 its reverse (4045023), we get a palindrome (36099063).

The spelling of 32054040 in words is "thirty-two million, fifty-four thousand, forty", and thus it is an eban number.