64854720 has 168 divisors, whose sum is σ = 255020064. Its totient is φ = 14819328.

The previous prime is 64854719. The next prime is 64854731. The reversal of 64854720 is 2745846.

64854720 is a `hidden beast` number, since 648 + 5 + 4 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×64854720² = 8412269412556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18552 + ... + 21768.

Almost surely, 2^64854720 is an apocalyptic number.

64854720 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 64854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127510032).

64854720 is an abundant number, since it is smaller than the sum of its proper divisors (190165344).

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

64854720 is a wasteful number, since it uses less digits than its factorization.

64854720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 64854720 is about 8053.2428250985. The cubic root of 64854720 is about 401.7727980271.

The spelling of 64854720 in words is "sixty-four million, eight hundred fifty-four thousand, seven hundred twenty".