64680000 has 420 divisors, whose sum is σ = 271375632. Its totient is φ = 13440000.

The previous prime is 64679999. The next prime is 64680017. The reversal of 64680000 is 8646.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5879995 + ... + 5880005.

Almost surely, 2^64680000 is an apocalyptic number.

64680000 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 64680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135687816).

64680000 is an abundant number, since it is smaller than the sum of its proper divisors (206695632).

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

64680000 is a wasteful number, since it uses less digits than its factorization.

64680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 64680000 is about 8042.3877051532. The cubic root of 64680000 is about 401.4116787138.

Adding to 64680000 its reverse (8646), we get a palindrome (64688646).

The spelling of 64680000 in words is "sixty-four million, six hundred eighty thousand".