32126400 has 252 divisors, whose sum is σ = 120377712. Its totient is φ = 8110080.

The previous prime is 32126389. The next prime is 32126407. The reversal of 32126400 is 462123.

It is a happy number.

32126400 is a `hidden beast` number, since 3 + 21 + 2 + 640 + 0 = 666.

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 (32126407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331152 + ... + 331248.

Almost surely, 2^32126400 is an apocalyptic number.

32126400 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 32126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60188856).

32126400 is an abundant number, since it is smaller than the sum of its proper divisors (88251312).

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

32126400 is a wasteful number, since it uses less digits than its factorization.

32126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 32126400 is about 5668.0155257374. The cubic root of 32126400 is about 317.8976768214.

Adding to 32126400 its reverse (462123), we get a palindrome (32588523).

The spelling of 32126400 in words is "thirty-two million, one hundred twenty-six thousand, four hundred".