32468300 has 72 divisors (see below), whose sum is σ = 75932640. Its totient is φ = 12006400.

The previous prime is 32468299. The next prime is 32468327. The reversal of 32468300 is 386423.

It is a self number, because there is not a number n which added to its sum of digits gives 32468300.

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, 120566 + ... + 120834.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 2^32468300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32468300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37966320).

32468300 is an abundant number, since it is smaller than the sum of its proper divisors (43464340).

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

32468300 is a wasteful number, since it uses less digits than its factorization.

32468300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 32468300 is about 5698.0961732845. The cubic root of 32468300 is about 319.0214245822.

It can be divided in two parts, 32468 and 300, that added together give a 15-th power (32768 = 2¹⁵).

The spelling of 32468300 in words is "thirty-two million, four hundred sixty-eight thousand, three hundred".