20546064 has 240 divisors, whose sum is σ = 76602240. Its totient is φ = 4976640.

The previous prime is 20546023. The next prime is 20546077. The reversal of 20546064 is 46064502.

It is a happy number.

20546064 is a `hidden beast` number, since 2 + 0 + 54 + 606 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188442 + ... + 188550.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 2^20546064 is an apocalyptic number.

20546064 is a gapful number since it is divisible by the number (24) 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 20546064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38301120).

20546064 is an abundant number, since it is smaller than the sum of its proper divisors (56056176).

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

20546064 is a wasteful number, since it uses less digits than its factorization.

20546064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20546064 is about 4532.7766324848. The cubic root of 20546064 is about 273.8900228180.

It can be divided in two parts, 2054 and 6064, that added together give a palindrome (8118).

The spelling of 20546064 in words is "twenty million, five hundred forty-six thousand, sixty-four".