32490000 has 225 divisors, whose sum is σ = 119917083. Its totient is φ = 8208000.

The previous prime is 32489993. The next prime is 32490001. The reversal of 32490000 is 9423.

The square root of 32490000 is 5700.

It is a perfect power (a square), and thus also a powerful number.

32490000 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 2547216 + 29942784 = 1596^2 + 5472^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is not an unprimeable number, because it can be changed into a prime (32490001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1709991 + ... + 1710009.

Almost surely, 2^32490000 is an apocalyptic number.

32490000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32490000 is the 5700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32490000

32490000 is an abundant number, since it is smaller than the sum of its proper divisors (87427083).

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

32490000 is a wasteful number, since it uses less digits than its factorization.

32490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The cubic root of 32490000 is about 319.0924807941.

Adding to 32490000 its reverse (9423), we get a palindrome (32499423).

It can be divided in two parts, 324 and 90000, that multiplied together give a square (29160000 = 5400²).

The spelling of 32490000 in words is "thirty-two million, four hundred ninety thousand".