64084020 has 288 divisors, whose sum is σ = 245247744. Its totient is φ = 12165120.

The previous prime is 64084001. The next prime is 64084091. The reversal of 64084020 is 2048046.

64084020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×64084020³ (a number of 24 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 660612 + ... + 660708.

Almost surely, 2^64084020 is an apocalyptic number.

64084020 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 64084020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122623872).

64084020 is an abundant number, since it is smaller than the sum of its proper divisors (181163724).

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

64084020 is a wasteful number, since it uses less digits than its factorization.

64084020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 64084020 is about 8005.2495276537. The cubic root of 64084020 is about 400.1749651235.

The spelling of 64084020 in words is "sixty-four million, eighty-four thousand, twenty".