64535400 has 384 divisors, whose sum is σ = 254448000. Its totient is φ = 14929920.

The previous prime is 64535399. The next prime is 64535423. The reversal of 64535400 is 453546.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1744182 + ... + 1744218.

It is an arithmetic number, because the mean of its divisors is an integer number (662625).

Almost surely, 2^64535400 is an apocalyptic number.

64535400 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 64535400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127224000).

64535400 is an abundant number, since it is smaller than the sum of its proper divisors (189912600).

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

64535400 is a wasteful number, since it uses less digits than its factorization.

64535400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 64535400 is about 8033.3928075253. The cubic root of 64535400 is about 401.1123206564.

Adding to 64535400 its reverse (453546), we get a palindrome (64988946).

The spelling of 64535400 in words is "sixty-four million, five hundred thirty-five thousand, four hundred".