20042064 has 120 divisors (see below), whose sum is σ = 65382720. Its totient is φ = 5612544.

The previous prime is 20042059. The next prime is 20042101. The reversal of 20042064 is 46024002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 59304 + ... + 59640.

It is an arithmetic number, because the mean of its divisors is an integer number (544856).

Almost surely, 2^20042064 is an apocalyptic number.

20042064 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 20042064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32691360).

20042064 is an abundant number, since it is smaller than the sum of its proper divisors (45340656).

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

20042064 is a wasteful number, since it uses less digits than its factorization.

20042064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20042064 is about 4476.8363829830. The cubic root of 20042064 is about 271.6319271741.

Adding to 20042064 its reverse (46024002), we get a palindrome (66066066).

The spelling of 20042064 in words is "twenty million, forty-two thousand, sixty-four".