20029968 has 120 divisors (see below), whose sum is σ = 66233856. Its totient is φ = 5529600.

The previous prime is 20029967. The next prime is 20029973. The reversal of 20029968 is 86992002.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (20029967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30928 + ... + 31568.

Almost surely, 2^20029968 is an apocalyptic number.

20029968 is a gapful number since it is divisible by the number (28) 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 20029968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33116928).

20029968 is an abundant number, since it is smaller than the sum of its proper divisors (46203888).

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

20029968 is a wasteful number, since it uses less digits than its factorization.

20029968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 20029968 is about 4475.4852250901. The cubic root of 20029968 is about 271.5772701119.

The spelling of 20029968 in words is "twenty million, twenty-nine thousand, nine hundred sixty-eight".