32012400 has 240 divisors, whose sum is σ = 121531904. Its totient is φ = 7050240.

The previous prime is 32012381. The next prime is 32012401. The reversal of 32012400 is 421023.

It is a tau number, because it is divible by the number of its divisors (240).

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 (32012401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310749 + ... + 310851.

Almost surely, 2^32012400 is an apocalyptic number.

32012400 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 32012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60765952).

32012400 is an abundant number, since it is smaller than the sum of its proper divisors (89519504).

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

32012400 is a wasteful number, since it uses less digits than its factorization.

32012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

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

The square root of 32012400 is about 5657.9501588473. The cubic root of 32012400 is about 317.5212129584.

Adding to 32012400 its reverse (421023), we get a palindrome (32433423).

It can be divided in two parts, 320 and 12400, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 32012400 in words is "thirty-two million, twelve thousand, four hundred".