64061200 has 120 divisors (see below), whose sum is σ = 178238592. Its totient is φ = 21672960.

The previous prime is 64061189. The next prime is 64061201. The reversal of 64061200 is 216046.

It is not an unprimeable number, because it can be changed into a prime (64061201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383517 + ... + 383683.

Almost surely, 2^64061200 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 64061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89119296).

64061200 is an abundant number, since it is smaller than the sum of its proper divisors (114177392).

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

64061200 is a wasteful number, since it uses less digits than its factorization.

64061200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 64061200 is about 8003.8240860229. The cubic root of 64061200 is about 400.1274593810.

Adding to 64061200 its reverse (216046), we get a palindrome (64277246).

It can be divided in two parts, 64061 and 200, that added together give a triangular number (64261 = T₃₅₈).

The spelling of 64061200 in words is "sixty-four million, sixty-one thousand, two hundred".