64125600 has 288 divisors, whose sum is σ = 260983296. Its totient is φ = 13286400.

The previous prime is 64125569. The next prime is 64125619. The reversal of 64125600 is 652146.

64125600 = T₄₁₉ + T₄₂₀ + ... + T₇₇₀.

64125600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64125600² = 8224185150720000, which contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 184627 + ... + 184973.

It is an arithmetic number, because the mean of its divisors is an integer number (906192).

Almost surely, 2^64125600 is an apocalyptic number.

64125600 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 64125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130491648).

64125600 is an abundant number, since it is smaller than the sum of its proper divisors (196857696).

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

64125600 is a wasteful number, since it uses less digits than its factorization.

64125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 64125600 is about 8007.8461523683. The cubic root of 64125600 is about 400.2614956794.

Adding to 64125600 its reverse (652146), we get a palindrome (64777746).

The spelling of 64125600 in words is "sixty-four million, one hundred twenty-five thousand, six hundred".