20077968 has 40 divisors (see below), whose sum is σ = 52177216. Its totient is φ = 6652800.

The previous prime is 20077963. The next prime is 20077973. The reversal of 20077968 is 86977002.

It is an interprime number because it is at equal distance from previous prime (20077963) and next prime (20077973).

It is not an unprimeable number, because it can be changed into a prime (20077961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7533 + ... + 9843.

Almost surely, 2^20077968 is an apocalyptic number.

It is an amenable number.

20077968 is an abundant number, since it is smaller than the sum of its proper divisors (32099248).

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

20077968 is a wasteful number, since it uses less digits than its factorization.

20077968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 20077968 is about 4480.8445632492. The cubic root of 20077968 is about 271.7940338106.

The spelling of 20077968 in words is "twenty million, seventy-seven thousand, nine hundred sixty-eight".