64100000 has 72 divisors (see below), whose sum is σ = 157982076. Its totient is φ = 25600000.

The previous prime is 64099999. The next prime is 64100083. The reversal of 64100000 is 146.

It can be written as a sum of positive squares in 6 ways, for example, as 929296 + 63170704 = 964^2 + 7948^2 .

It is a sliding number, since 64100000 = 1600000 + 62500000 and 1/1600000 + 1/62500000 = 0.00000064100000.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99680 + ... + 100320.

Almost surely, 2^64100000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78991038).

64100000 is an abundant number, since it is smaller than the sum of its proper divisors (93882076).

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

64100000 is an frugal number, since it uses more digits than its factorization.

64100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 64100000 is about 8006.2475604992. The cubic root of 64100000 is about 400.2082249205.

Adding to 64100000 its reverse (146), we get a palindrome (64100146).

The spelling of 64100000 in words is "sixty-four million, one hundred thousand".