20972160 has 192 divisors, whose sum is σ = 79241760. Its totient is φ = 5068800.

The previous prime is 20972141. The next prime is 20972167. The reversal of 20972160 is 6127902.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (20972167) 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, 63195 + ... + 63525.

Almost surely, 2^20972160 is an apocalyptic number.

20972160 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 20972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39620880).

20972160 is an abundant number, since it is smaller than the sum of its proper divisors (58269600).

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

20972160 is a wasteful number, since it uses less digits than its factorization.

20972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 20972160 is about 4579.5370945108. The cubic root of 20972160 is about 275.7704455490.

The spelling of 20972160 in words is "twenty million, nine hundred seventy-two thousand, one hundred sixty".