64801600 has 84 divisors (see below), whose sum is σ = 161432748. Its totient is φ = 25600000.

The previous prime is 64801591. The next prime is 64801601. The reversal of 64801600 is 610846.

64801600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 14561856 + 50239744 = 3816^2 + 7088^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64801601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161400 + ... + 161800.

Almost surely, 2^64801600 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 64801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80716374).

64801600 is an abundant number, since it is smaller than the sum of its proper divisors (96631148).

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

64801600 is a wasteful number, since it uses less digits than its factorization.

64801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 64801600 is about 8049.9440991848. The cubic root of 64801600 is about 401.6630758638.

The spelling of 64801600 in words is "sixty-four million, eight hundred one thousand, six hundred".