20001968 has 40 divisors (see below), whose sum is σ = 44520960. Its totient is φ = 8527680.

The previous prime is 20001959. The next prime is 20001977. The reversal of 20001968 is 86910002.

It is an interprime number because it is at equal distance from previous prime (20001959) and next prime (20001977).

It is a super-3 number, since 3×20001968³ (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30023 + ... + 30681.

It is an arithmetic number, because the mean of its divisors is an integer number (1113024).

Almost surely, 2^20001968 is an apocalyptic number.

20001968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20001968 is an abundant number, since it is smaller than the sum of its proper divisors (24518992).

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

20001968 is a wasteful number, since it uses less digits than its factorization.

20001968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 20001968 is about 4472.3559786761. The cubic root of 20001968 is about 271.4506646573.

The spelling of 20001968 in words is "twenty million, one thousand, nine hundred sixty-eight".