64853280 has 144 divisors (see below), whose sum is σ = 229090680. Its totient is φ = 16687104.

The previous prime is 64853231. The next prime is 64853297. The reversal of 64853280 is 8235846.

64853280 is a `hidden beast` number, since 6 + 48 + 532 + 80 = 666.

64853280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39087504 + 25765776 = 6252^2 + 5076^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 40984 + ... + 42536.

Almost surely, 2^64853280 is an apocalyptic number.

64853280 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 64853280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114545340).

64853280 is an abundant number, since it is smaller than the sum of its proper divisors (164237400).

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

64853280 is a wasteful number, since it uses less digits than its factorization.

64853280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 64853280 is about 8053.1534196239. The cubic root of 64853280 is about 401.7698244213.

The spelling of 64853280 in words is "sixty-four million, eight hundred fifty-three thousand, two hundred eighty".