64800032 has 48 divisors (see below), whose sum is σ = 146512800. Its totient is φ = 27901440.

The previous prime is 64799953. The next prime is 64800037. The reversal of 64800032 is 23000846.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 64799980 and 64800007.

It is not an unprimeable number, because it can be changed into a prime (64800037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1844 + ... + 11532.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 2^64800032 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 64800032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73256400).

64800032 is an abundant number, since it is smaller than the sum of its proper divisors (81712768).

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

64800032 is a wasteful number, since it uses less digits than its factorization.

64800032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9729 (or 9721 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 64800032 is about 8049.8467066150. The cubic root of 64800032 is about 401.6598361661.

Adding to 64800032 its reverse (23000846), we get a palindrome (87800878).

The spelling of 64800032 in words is "sixty-four million, eight hundred thousand, thirty-two".