64821120 has 384 divisors, whose sum is σ = 263723040. Its totient is φ = 13418496.

The previous prime is 64821079. The next prime is 64821137. The reversal of 64821120 is 2112846.

64821120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223014 + ... + 1223066.

Almost surely, 2^64821120 is an apocalyptic number.

64821120 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 64821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131861520).

64821120 is an abundant number, since it is smaller than the sum of its proper divisors (198901920).

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

64821120 is a wasteful number, since it uses less digits than its factorization.

64821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 64821120 is about 8051.1564386739. The cubic root of 64821120 is about 401.7034024202.

Adding to 64821120 its reverse (2112846), we get a palindrome (66933966).

The spelling of 64821120 in words is "sixty-four million, eight hundred twenty-one thousand, one hundred twenty".