20700960 has 192 divisors, whose sum is σ = 76495104. Its totient is φ = 4608000.

The previous prime is 20700949. The next prime is 20700961. The reversal of 20700960 is 6900702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20700960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20700961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204910 + ... + 205010.

It is an arithmetic number, because the mean of its divisors is an integer number (398412).

Almost surely, 2^20700960 is an apocalyptic number.

20700960 is a gapful number since it is divisible by the number (20) 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 20700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38247552).

20700960 is an abundant number, since it is smaller than the sum of its proper divisors (55794144).

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

20700960 is a wasteful number, since it uses less digits than its factorization.

20700960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 20700960 is about 4549.8307660835. The cubic root of 20700960 is about 274.5765825586.

The spelling of 20700960 in words is "twenty million, seven hundred thousand, nine hundred sixty".