64562400 has 432 divisors, whose sum is σ = 276076080. Its totient is φ = 14515200.

The previous prime is 64562387. The next prime is 64562401. The reversal of 64562400 is 426546.

It is a happy number.

64562400 is a `hidden beast` number, since 64 + 562 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64562401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1058370 + ... + 1058430.

It is an arithmetic number, because the mean of its divisors is an integer number (639065).

Almost surely, 2^64562400 is an apocalyptic number.

64562400 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 64562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138038040).

64562400 is an abundant number, since it is smaller than the sum of its proper divisors (211513680).

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

64562400 is a wasteful number, since it uses less digits than its factorization.

64562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 64562400 is about 8035.0731172778. The cubic root of 64562400 is about 401.1682513171.

Adding to 64562400 its reverse (426546), we get a palindrome (64988946).

The spelling of 64562400 in words is "sixty-four million, five hundred sixty-two thousand, four hundred".