32412000 has 192 divisors, whose sum is σ = 110545344. Its totient is φ = 8294400.

The previous prime is 32411993. The next prime is 32412001. The reversal of 32412000 is 21423.

32412000 = 630² + 631² + ... + 702².

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32412001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443964 + ... + 444036.

It is an arithmetic number, because the mean of its divisors is an integer number (575757).

Almost surely, 2^32412000 is an apocalyptic number.

32412000 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 32412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55272672).

32412000 is an abundant number, since it is smaller than the sum of its proper divisors (78133344).

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

32412000 is a wasteful number, since it uses less digits than its factorization.

32412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 32412000 is about 5693.1537832734. The cubic root of 32412000 is about 318.8369236216.

Adding to 32412000 its reverse (21423), we get a palindrome (32433423).

The spelling of 32412000 in words is "thirty-two million, four hundred twelve thousand".