64716000 has 96 divisors (see below), whose sum is σ = 212048928. Its totient is φ = 17254400.

The previous prime is 64715993. The next prime is 64716011. The reversal of 64716000 is 61746.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9304 + ... + 14696.

It is an arithmetic number, because the mean of its divisors is an integer number (2208843).

Almost surely, 2^64716000 is an apocalyptic number.

64716000 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 64716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106024464).

64716000 is an abundant number, since it is smaller than the sum of its proper divisors (147332928).

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

64716000 is a wasteful number, since it uses less digits than its factorization.

64716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 64716000 is about 8044.6255351011. The cubic root of 64716000 is about 401.4861383109.

Adding to 64716000 its reverse (61746), we get a palindrome (64777746).

The spelling of 64716000 in words is "sixty-four million, seven hundred sixteen thousand".