64462200 has 96 divisors (see below), whose sum is σ = 218021760. Its totient is φ = 15625600.

The previous prime is 64462187. The next prime is 64462207. The reversal of 64462200 is 226446.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64462207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1717 + ... + 11483.

It is an arithmetic number, because the mean of its divisors is an integer number (2271060).

Almost surely, 2^64462200 is an apocalyptic number.

64462200 is a gapful number since it is divisible by the number (60) 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 64462200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109010880).

64462200 is an abundant number, since it is smaller than the sum of its proper divisors (153559560).

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

64462200 is a wasteful number, since it uses less digits than its factorization.

64462200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9797 (or 9788 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 64462200 is about 8028.8355320059. The cubic root of 64462200 is about 400.9606079011.

Adding to 64462200 its reverse (226446), we get a palindrome (64688646).

It can be divided in two parts, 6446 and 2200, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 64462200 in words is "sixty-four million, four hundred sixty-two thousand, two hundred".