64268100 has 144 divisors (see below), whose sum is σ = 222624640. Its totient is φ = 15811200.

The previous prime is 64268081. The next prime is 64268117. The reversal of 64268100 is 186246.

64268100 is a `hidden beast` number, since 642 + 6 + 8 + 10 + 0 = 666.

64268100 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 2×64268100² = 8260777355220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 34185 + ... + 36015.

Almost surely, 2^64268100 is an apocalyptic number.

64268100 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 64268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111312320).

64268100 is an abundant number, since it is smaller than the sum of its proper divisors (158356540).

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

64268100 is a wasteful number, since it uses less digits than its factorization.

64268100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 64268100 is about 8016.7387384148. The cubic root of 64268100 is about 400.5577635547.

The spelling of 64268100 in words is "sixty-four million, two hundred sixty-eight thousand, one hundred".