20970768 has 80 divisors (see below), whose sum is σ = 66690176. Its totient is φ = 5529600.

The previous prime is 20970743. The next prime is 20970769. The reversal of 20970768 is 86707902.

It is a super-2 number, since 2×20970768² = 879546221019648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (20970769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968 + ... + 6768.

Almost surely, 2^20970768 is an apocalyptic number.

20970768 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 20970768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33345088).

20970768 is an abundant number, since it is smaller than the sum of its proper divisors (45719408).

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

20970768 is a wasteful number, since it uses less digits than its factorization.

20970768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4826 counting only the distinct ones).

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

The square root of 20970768 is about 4579.3851115625. The cubic root of 20970768 is about 275.7643441118.

The spelling of 20970768 in words is "twenty million, nine hundred seventy thousand, seven hundred sixty-eight".