64401300 has 108 divisors (see below), whose sum is σ = 203563360. Its totient is φ = 17029440.

The previous prime is 64401289. The next prime is 64401301. The reversal of 64401300 is 310446.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64401301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146481 + ... + 146919.

Almost surely, 2^64401300 is an apocalyptic number.

64401300 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 64401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101781680).

64401300 is an abundant number, since it is smaller than the sum of its proper divisors (139162060).

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

64401300 is a wasteful number, since it uses less digits than its factorization.

64401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 64401300 is about 8025.0420559646. The cubic root of 64401300 is about 400.8343003143.

Adding to 64401300 its reverse (310446), we get a palindrome (64711746).

The spelling of 64401300 in words is "sixty-four million, four hundred one thousand, three hundred".